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Finding the Fourth Proportional to 31,766.50, 47,649.76 and 21,761.38

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Solution

The fourth proportional to 31,766.50, 47,649.76 and 21,761.38 is: 32,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,766.50 : 47,649.76 = 21,761.38 : x
  2. Step 2: Convert to fraction form
    31,766.50/47,649.76 = 21,761.38/x
  3. Step 3: Cross multiply
    31,766.50x = 47,649.76 × 21,761.38
  4. Step 4: Simplify right side
    31,766.50x = 1,036,924,534.27
  5. Step 5: Solve for x
    x = 1,036,924,534.27/31,766.50
  6. Step 6: Final answer
    x = 32,642.08

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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.