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Finding the Fourth Proportional to 83,427.86, 125,140.74 and 20,248.50

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Solution

The fourth proportional to 83,427.86, 125,140.74 and 20,248.50 is: 30,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,427.86 : 125,140.74 = 20,248.50 : x
  2. Step 2: Convert to fraction form
    83,427.86/125,140.74 = 20,248.50/x
  3. Step 3: Cross multiply
    83,427.86x = 125,140.74 × 20,248.50
  4. Step 4: Simplify right side
    83,427.86x = 2,533,912,273.89
  5. Step 5: Solve for x
    x = 2,533,912,273.89/83,427.86
  6. Step 6: Final answer
    x = 30,372.50

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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.