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Finding the Fourth Proportional to 56,286.42, 77,668.65 and 32,414.10

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Solution

The fourth proportional to 56,286.42, 77,668.65 and 32,414.10 is: 44,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,286.42 : 77,668.65 = 32,414.10 : x
  2. Step 2: Convert to fraction form
    56,286.42/77,668.65 = 32,414.10/x
  3. Step 3: Cross multiply
    56,286.42x = 77,668.65 × 32,414.10
  4. Step 4: Simplify right side
    56,286.42x = 2,517,559,387.97
  5. Step 5: Solve for x
    x = 2,517,559,387.97/56,286.42
  6. Step 6: Final answer
    x = 44,727.65

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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.