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Finding the Fourth Proportional to 29,654.46, 40,938.21 and 20,144.66

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Solution

The fourth proportional to 29,654.46, 40,938.21 and 20,144.66 is: 27,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654.46 : 40,938.21 = 20,144.66 : x
  2. Step 2: Convert to fraction form
    29,654.46/40,938.21 = 20,144.66/x
  3. Step 3: Cross multiply
    29,654.46x = 40,938.21 × 20,144.66
  4. Step 4: Simplify right side
    29,654.46x = 824,686,116.77
  5. Step 5: Solve for x
    x = 824,686,116.77/29,654.46
  6. Step 6: Final answer
    x = 27,809.85

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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.