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Finding the Fourth Proportional to 31,104,024.68, 46,656,037.01 and 31,104,024.68

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Solution

The fourth proportional to 31,104,024.68, 46,656,037.01 and 31,104,024.68 is: 46,656,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104,024.68 : 46,656,037.01 = 31,104,024.68 : x
  2. Step 2: Convert to fraction form
    31,104,024.68/46,656,037.01 = 31,104,024.68/x
  3. Step 3: Cross multiply
    31,104,024.68x = 46,656,037.01 × 31,104,024.68
  4. Step 4: Simplify right side
    31,104,024.68x = 1,451,190,526,474,513.50
  5. Step 5: Solve for x
    x = 1,451,190,526,474,513.50/31,104,024.68
  6. Step 6: Final answer
    x = 46,656,037.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.