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Finding the Fourth Proportional to 29,424.70, 44,143.20 and 9,700.78

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Solution

The fourth proportional to 29,424.70, 44,143.20 and 9,700.78 is: 14,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,424.70 : 44,143.20 = 9,700.78 : x
  2. Step 2: Convert to fraction form
    29,424.70/44,143.20 = 9,700.78/x
  3. Step 3: Cross multiply
    29,424.70x = 44,143.20 × 9,700.78
  4. Step 4: Simplify right side
    29,424.70x = 428,223,471.70
  5. Step 5: Solve for x
    x = 428,223,471.70/29,424.70
  6. Step 6: Final answer
    x = 14,553.20

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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.