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Finding the Fourth Proportional to 56,414.32, 77,850.07 and 30,920.13

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Solution

The fourth proportional to 56,414.32, 77,850.07 and 30,920.13 is: 42,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,414.32 : 77,850.07 = 30,920.13 : x
  2. Step 2: Convert to fraction form
    56,414.32/77,850.07 = 30,920.13/x
  3. Step 3: Cross multiply
    56,414.32x = 77,850.07 × 30,920.13
  4. Step 4: Simplify right side
    56,414.32x = 2,407,134,207.61
  5. Step 5: Solve for x
    x = 2,407,134,207.61/56,414.32
  6. Step 6: Final answer
    x = 42,668.85

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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.