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Finding the Fourth Proportional to 81,981.60, 122,972.40 and 52,432.80

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Solution

The fourth proportional to 81,981.60, 122,972.40 and 52,432.80 is: 78,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,981.60 : 122,972.40 = 52,432.80 : x
  2. Step 2: Convert to fraction form
    81,981.60/122,972.40 = 52,432.80/x
  3. Step 3: Cross multiply
    81,981.60x = 122,972.40 × 52,432.80
  4. Step 4: Simplify right side
    81,981.60x = 6,447,787,254.72
  5. Step 5: Solve for x
    x = 6,447,787,254.72/81,981.60
  6. Step 6: Final answer
    x = 78,649.20

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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.