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Finding the Fourth Proportional to 31,337.70, 47,006.55 and 24,339.30

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Solution

The fourth proportional to 31,337.70, 47,006.55 and 24,339.30 is: 36,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,337.70 : 47,006.55 = 24,339.30 : x
  2. Step 2: Convert to fraction form
    31,337.70/47,006.55 = 24,339.30/x
  3. Step 3: Cross multiply
    31,337.70x = 47,006.55 × 24,339.30
  4. Step 4: Simplify right side
    31,337.70x = 1,144,106,522.42
  5. Step 5: Solve for x
    x = 1,144,106,522.42/31,337.70
  6. Step 6: Final answer
    x = 36,508.95

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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.