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Finding the Fourth Proportional to 54,397.52, 75,062.92 and 31,730.48

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Solution

The fourth proportional to 54,397.52, 75,062.92 and 31,730.48 is: 43,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,397.52 : 75,062.92 = 31,730.48 : x
  2. Step 2: Convert to fraction form
    54,397.52/75,062.92 = 31,730.48/x
  3. Step 3: Cross multiply
    54,397.52x = 75,062.92 × 31,730.48
  4. Step 4: Simplify right side
    54,397.52x = 2,381,782,481.80
  5. Step 5: Solve for x
    x = 2,381,782,481.80/54,397.52
  6. Step 6: Final answer
    x = 43,784.76

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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.