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Finding the Fourth Proportional to 83,275.20, 124,869.60 and 30,657.60

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Solution

The fourth proportional to 83,275.20, 124,869.60 and 30,657.60 is: 45,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,275.20 : 124,869.60 = 30,657.60 : x
  2. Step 2: Convert to fraction form
    83,275.20/124,869.60 = 30,657.60/x
  3. Step 3: Cross multiply
    83,275.20x = 124,869.60 × 30,657.60
  4. Step 4: Simplify right side
    83,275.20x = 3,828,202,248.96
  5. Step 5: Solve for x
    x = 3,828,202,248.96/83,275.20
  6. Step 6: Final answer
    x = 45,970.50

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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.