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Finding the Fourth Proportional to 29,868.54, 44,805.24 and 9,092.04

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Solution

The fourth proportional to 29,868.54, 44,805.24 and 9,092.04 is: 13,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868.54 : 44,805.24 = 9,092.04 : x
  2. Step 2: Convert to fraction form
    29,868.54/44,805.24 = 9,092.04/x
  3. Step 3: Cross multiply
    29,868.54x = 44,805.24 × 9,092.04
  4. Step 4: Simplify right side
    29,868.54x = 407,371,034.29
  5. Step 5: Solve for x
    x = 407,371,034.29/29,868.54
  6. Step 6: Final answer
    x = 13,638.80

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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.