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Finding the Fourth Proportional to 56,635.20, 78,170.40 and 34,286.40

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Solution

The fourth proportional to 56,635.20, 78,170.40 and 34,286.40 is: 47,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,635.20 : 78,170.40 = 34,286.40 : x
  2. Step 2: Convert to fraction form
    56,635.20/78,170.40 = 34,286.40/x
  3. Step 3: Cross multiply
    56,635.20x = 78,170.40 × 34,286.40
  4. Step 4: Simplify right side
    56,635.20x = 2,680,181,602.56
  5. Step 5: Solve for x
    x = 2,680,181,602.56/56,635.20
  6. Step 6: Final answer
    x = 47,323.60

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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.