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Finding the Fourth Proportional to 36,061.92, 54,092.88 and 11,436

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Solution

The fourth proportional to 36,061.92, 54,092.88 and 11,436 is: 17,154

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,061.92 : 54,092.88 = 11,436 : x
  2. Step 2: Convert to fraction form
    36,061.92/54,092.88 = 11,436/x
  3. Step 3: Cross multiply
    36,061.92x = 54,092.88 × 11,436
  4. Step 4: Simplify right side
    36,061.92x = 618,606,175.68
  5. Step 5: Solve for x
    x = 618,606,175.68/36,061.92
  6. Step 6: Final answer
    x = 17,154

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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.