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Finding the Fourth Proportional to 31,990.95, 47,917.17 and 23,206.50

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Solution

The fourth proportional to 31,990.95, 47,917.17 and 23,206.50 is: 34,759.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.95 : 47,917.17 = 23,206.50 : x
  2. Step 2: Convert to fraction form
    31,990.95/47,917.17 = 23,206.50/x
  3. Step 3: Cross multiply
    31,990.95x = 47,917.17 × 23,206.50
  4. Step 4: Simplify right side
    31,990.95x = 1,111,989,805.61
  5. Step 5: Solve for x
    x = 1,111,989,805.61/31,990.95
  6. Step 6: Final answer
    x = 34,759.51

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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.