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Finding the Fourth Proportional to 31,642.95, 47,476.68 and 29,059.46

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Solution

The fourth proportional to 31,642.95, 47,476.68 and 29,059.46 is: 43,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.95 : 47,476.68 = 29,059.46 : x
  2. Step 2: Convert to fraction form
    31,642.95/47,476.68 = 29,059.46/x
  3. Step 3: Cross multiply
    31,642.95x = 47,476.68 × 29,059.46
  4. Step 4: Simplify right side
    31,642.95x = 1,379,646,337.04
  5. Step 5: Solve for x
    x = 1,379,646,337.04/31,642.95
  6. Step 6: Final answer
    x = 43,600.43

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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.