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Finding the Fourth Proportional to 56,241.32, 77,613 and 30,747.78

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Solution

The fourth proportional to 56,241.32, 77,613 and 30,747.78 is: 42,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,241.32 : 77,613 = 30,747.78 : x
  2. Step 2: Convert to fraction form
    56,241.32/77,613 = 30,747.78/x
  3. Step 3: Cross multiply
    56,241.32x = 77,613 × 30,747.78
  4. Step 4: Simplify right side
    56,241.32x = 2,386,427,449.14
  5. Step 5: Solve for x
    x = 2,386,427,449.14/56,241.32
  6. Step 6: Final answer
    x = 42,431.92

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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.