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Finding the Fourth Proportional to 51,654.33, 71,288.10 and 31,524.66

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Solution

The fourth proportional to 51,654.33, 71,288.10 and 31,524.66 is: 43,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,654.33 : 71,288.10 = 31,524.66 : x
  2. Step 2: Convert to fraction form
    51,654.33/71,288.10 = 31,524.66/x
  3. Step 3: Cross multiply
    51,654.33x = 71,288.10 × 31,524.66
  4. Step 4: Simplify right side
    51,654.33x = 2,247,333,114.55
  5. Step 5: Solve for x
    x = 2,247,333,114.55/51,654.33
  6. Step 6: Final answer
    x = 43,507.16

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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.