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Finding the Fourth Proportional to 54,142.32, 74,716.68 and 31,494.72

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Solution

The fourth proportional to 54,142.32, 74,716.68 and 31,494.72 is: 43,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,142.32 : 74,716.68 = 31,494.72 : x
  2. Step 2: Convert to fraction form
    54,142.32/74,716.68 = 31,494.72/x
  3. Step 3: Cross multiply
    54,142.32x = 74,716.68 × 31,494.72
  4. Step 4: Simplify right side
    54,142.32x = 2,353,180,915.93
  5. Step 5: Solve for x
    x = 2,353,180,915.93/54,142.32
  6. Step 6: Final answer
    x = 43,462.88

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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.