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Finding the Fourth Proportional to 52,264.40, 78,439.80 and 24,227.60

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Solution

The fourth proportional to 52,264.40, 78,439.80 and 24,227.60 is: 36,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,264.40 : 78,439.80 = 24,227.60 : x
  2. Step 2: Convert to fraction form
    52,264.40/78,439.80 = 24,227.60/x
  3. Step 3: Cross multiply
    52,264.40x = 78,439.80 × 24,227.60
  4. Step 4: Simplify right side
    52,264.40x = 1,900,408,098.48
  5. Step 5: Solve for x
    x = 1,900,408,098.48/52,264.40
  6. Step 6: Final answer
    x = 36,361.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.