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Finding the Fourth Proportional to 31,625.57, 47,446.57 and 9,438.95

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Solution

The fourth proportional to 31,625.57, 47,446.57 and 9,438.95 is: 14,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,625.57 : 47,446.57 = 9,438.95 : x
  2. Step 2: Convert to fraction form
    31,625.57/47,446.57 = 9,438.95/x
  3. Step 3: Cross multiply
    31,625.57x = 47,446.57 × 9,438.95
  4. Step 4: Simplify right side
    31,625.57x = 447,845,564.67
  5. Step 5: Solve for x
    x = 447,845,564.67/31,625.57
  6. Step 6: Final answer
    x = 14,160.87

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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.