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Finding the Fourth Proportional to 31,898.37, 47,854.70 and 9,713.49

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Solution

The fourth proportional to 31,898.37, 47,854.70 and 9,713.49 is: 14,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.37 : 47,854.70 = 9,713.49 : x
  2. Step 2: Convert to fraction form
    31,898.37/47,854.70 = 9,713.49/x
  3. Step 3: Cross multiply
    31,898.37x = 47,854.70 × 9,713.49
  4. Step 4: Simplify right side
    31,898.37x = 464,836,149.90
  5. Step 5: Solve for x
    x = 464,836,149.90/31,898.37
  6. Step 6: Final answer
    x = 14,572.41

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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.