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Finding the Fourth Proportional to 54,471.60, 75,165 and 30,600.88

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Solution

The fourth proportional to 54,471.60, 75,165 and 30,600.88 is: 42,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,471.60 : 75,165 = 30,600.88 : x
  2. Step 2: Convert to fraction form
    54,471.60/75,165 = 30,600.88/x
  3. Step 3: Cross multiply
    54,471.60x = 75,165 × 30,600.88
  4. Step 4: Simplify right side
    54,471.60x = 2,300,115,145.20
  5. Step 5: Solve for x
    x = 2,300,115,145.20/54,471.60
  6. Step 6: Final answer
    x = 42,225.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.