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Finding the Fourth Proportional to 39,654.98, 59,468.18 and 11,569.40

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Solution

The fourth proportional to 39,654.98, 59,468.18 and 11,569.40 is: 17,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,654.98 : 59,468.18 = 11,569.40 : x
  2. Step 2: Convert to fraction form
    39,654.98/59,468.18 = 11,569.40/x
  3. Step 3: Cross multiply
    39,654.98x = 59,468.18 × 11,569.40
  4. Step 4: Simplify right side
    39,654.98x = 688,010,806.50
  5. Step 5: Solve for x
    x = 688,010,806.50/39,654.98
  6. Step 6: Final answer
    x = 17,349.92

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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.