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Finding the Fourth Proportional to 29,355.74, 44,033.10 and 11,825.12

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Solution

The fourth proportional to 29,355.74, 44,033.10 and 11,825.12 is: 17,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,355.74 : 44,033.10 = 11,825.12 : x
  2. Step 2: Convert to fraction form
    29,355.74/44,033.10 = 11,825.12/x
  3. Step 3: Cross multiply
    29,355.74x = 44,033.10 × 11,825.12
  4. Step 4: Simplify right side
    29,355.74x = 520,696,691.47
  5. Step 5: Solve for x
    x = 520,696,691.47/29,355.74
  6. Step 6: Final answer
    x = 17,737.47

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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.