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Finding the Fourth Proportional to 56,839.32, 78,438.78 and 34,179

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Solution

The fourth proportional to 56,839.32, 78,438.78 and 34,179 is: 47,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,839.32 : 78,438.78 = 34,179 : x
  2. Step 2: Convert to fraction form
    56,839.32/78,438.78 = 34,179/x
  3. Step 3: Cross multiply
    56,839.32x = 78,438.78 × 34,179
  4. Step 4: Simplify right side
    56,839.32x = 2,680,959,061.62
  5. Step 5: Solve for x
    x = 2,680,959,061.62/56,839.32
  6. Step 6: Final answer
    x = 47,167.33

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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.