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Finding the Fourth Proportional to 38,476.70, 57,715.05 and 31,910.30

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Solution

The fourth proportional to 38,476.70, 57,715.05 and 31,910.30 is: 47,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.70 : 57,715.05 = 31,910.30 : x
  2. Step 2: Convert to fraction form
    38,476.70/57,715.05 = 31,910.30/x
  3. Step 3: Cross multiply
    38,476.70x = 57,715.05 × 31,910.30
  4. Step 4: Simplify right side
    38,476.70x = 1,841,704,560.02
  5. Step 5: Solve for x
    x = 1,841,704,560.02/38,476.70
  6. Step 6: Final answer
    x = 47,865.45

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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.