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Finding the Fourth Proportional to 46,104.96, 69,074.01 and 21,165.87

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Solution

The fourth proportional to 46,104.96, 69,074.01 and 21,165.87 is: 31,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,104.96 : 69,074.01 = 21,165.87 : x
  2. Step 2: Convert to fraction form
    46,104.96/69,074.01 = 21,165.87/x
  3. Step 3: Cross multiply
    46,104.96x = 69,074.01 × 21,165.87
  4. Step 4: Simplify right side
    46,104.96x = 1,462,011,516.04
  5. Step 5: Solve for x
    x = 1,462,011,516.04/46,104.96
  6. Step 6: Final answer
    x = 31,710.50

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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.