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Finding the Fourth Proportional to 29,428.50, 44,143.17 and 16,306.50

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Solution

The fourth proportional to 29,428.50, 44,143.17 and 16,306.50 is: 24,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,428.50 : 44,143.17 = 16,306.50 : x
  2. Step 2: Convert to fraction form
    29,428.50/44,143.17 = 16,306.50/x
  3. Step 3: Cross multiply
    29,428.50x = 44,143.17 × 16,306.50
  4. Step 4: Simplify right side
    29,428.50x = 719,820,601.61
  5. Step 5: Solve for x
    x = 719,820,601.61/29,428.50
  6. Step 6: Final answer
    x = 24,459.98

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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.