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Finding the Fourth Proportional to 46,321.50, 69,468.47 and 19,667.10

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Solution

The fourth proportional to 46,321.50, 69,468.47 and 19,667.10 is: 29,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,321.50 : 69,468.47 = 19,667.10 : x
  2. Step 2: Convert to fraction form
    46,321.50/69,468.47 = 19,667.10/x
  3. Step 3: Cross multiply
    46,321.50x = 69,468.47 × 19,667.10
  4. Step 4: Simplify right side
    46,321.50x = 1,366,243,172.67
  5. Step 5: Solve for x
    x = 1,366,243,172.67/46,321.50
  6. Step 6: Final answer
    x = 29,494.79

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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.