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Finding the Fourth Proportional to 53,947.20, 80,882.40 and 20,654.40

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Solution

The fourth proportional to 53,947.20, 80,882.40 and 20,654.40 is: 30,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,947.20 : 80,882.40 = 20,654.40 : x
  2. Step 2: Convert to fraction form
    53,947.20/80,882.40 = 20,654.40/x
  3. Step 3: Cross multiply
    53,947.20x = 80,882.40 × 20,654.40
  4. Step 4: Simplify right side
    53,947.20x = 1,670,577,442.56
  5. Step 5: Solve for x
    x = 1,670,577,442.56/53,947.20
  6. Step 6: Final answer
    x = 30,966.90

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1.5x scale

Why These Related Problems?

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