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Finding the Fourth Proportional to 29,494.31, 40,701.89 and 20,546.78

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Solution

The fourth proportional to 29,494.31, 40,701.89 and 20,546.78 is: 28,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,494.31 : 40,701.89 = 20,546.78 : x
  2. Step 2: Convert to fraction form
    29,494.31/40,701.89 = 20,546.78/x
  3. Step 3: Cross multiply
    29,494.31x = 40,701.89 × 20,546.78
  4. Step 4: Simplify right side
    29,494.31x = 836,292,473.17
  5. Step 5: Solve for x
    x = 836,292,473.17/29,494.31
  6. Step 6: Final answer
    x = 28,354.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.