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Finding the Fourth Proportional to 31,951.68, 47,929.95 and 23,291.16

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Solution

The fourth proportional to 31,951.68, 47,929.95 and 23,291.16 is: 34,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.68 : 47,929.95 = 23,291.16 : x
  2. Step 2: Convert to fraction form
    31,951.68/47,929.95 = 23,291.16/x
  3. Step 3: Cross multiply
    31,951.68x = 47,929.95 × 23,291.16
  4. Step 4: Simplify right side
    31,951.68x = 1,116,344,134.24
  5. Step 5: Solve for x
    x = 1,116,344,134.24/31,951.68
  6. Step 6: Final answer
    x = 34,938.51

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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.