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Finding the Fourth Proportional to 31,498.70, 47,248.95 and 8,125.13

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Solution

The fourth proportional to 31,498.70, 47,248.95 and 8,125.13 is: 12,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.70 : 47,248.95 = 8,125.13 : x
  2. Step 2: Convert to fraction form
    31,498.70/47,248.95 = 8,125.13/x
  3. Step 3: Cross multiply
    31,498.70x = 47,248.95 × 8,125.13
  4. Step 4: Simplify right side
    31,498.70x = 383,903,624.87
  5. Step 5: Solve for x
    x = 383,903,624.87/31,498.70
  6. Step 6: Final answer
    x = 12,187.92

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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.