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Finding the Fourth Proportional to 83,461.50, 125,192.40 and 20,281.68

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Solution

The fourth proportional to 83,461.50, 125,192.40 and 20,281.68 is: 30,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,461.50 : 125,192.40 = 20,281.68 : x
  2. Step 2: Convert to fraction form
    83,461.50/125,192.40 = 20,281.68/x
  3. Step 3: Cross multiply
    83,461.50x = 125,192.40 × 20,281.68
  4. Step 4: Simplify right side
    83,461.50x = 2,539,112,195.23
  5. Step 5: Solve for x
    x = 2,539,112,195.23/83,461.50
  6. Step 6: Final answer
    x = 30,422.56

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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.