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Finding the Fourth Proportional to 29,892.69, 44,838.56 and 10,184.97

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Solution

The fourth proportional to 29,892.69, 44,838.56 and 10,184.97 is: 15,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,892.69 : 44,838.56 = 10,184.97 : x
  2. Step 2: Convert to fraction form
    29,892.69/44,838.56 = 10,184.97/x
  3. Step 3: Cross multiply
    29,892.69x = 44,838.56 × 10,184.97
  4. Step 4: Simplify right side
    29,892.69x = 456,679,337.52
  5. Step 5: Solve for x
    x = 456,679,337.52/29,892.69
  6. Step 6: Final answer
    x = 15,277.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.