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Finding the Fourth Proportional to 29,593.92, 44,394 and 9,874.44

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Solution

The fourth proportional to 29,593.92, 44,394 and 9,874.44 is: 14,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,593.92 : 44,394 = 9,874.44 : x
  2. Step 2: Convert to fraction form
    29,593.92/44,394 = 9,874.44/x
  3. Step 3: Cross multiply
    29,593.92x = 44,394 × 9,874.44
  4. Step 4: Simplify right side
    29,593.92x = 438,365,889.36
  5. Step 5: Solve for x
    x = 438,365,889.36/29,593.92
  6. Step 6: Final answer
    x = 14,812.70

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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.