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Finding the Fourth Proportional to 100,042.68, 138,053.16 and 54,711.60

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Solution

The fourth proportional to 100,042.68, 138,053.16 and 54,711.60 is: 75,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,042.68 : 138,053.16 = 54,711.60 : x
  2. Step 2: Convert to fraction form
    100,042.68/138,053.16 = 54,711.60/x
  3. Step 3: Cross multiply
    100,042.68x = 138,053.16 × 54,711.60
  4. Step 4: Simplify right side
    100,042.68x = 7,553,109,268.66
  5. Step 5: Solve for x
    x = 7,553,109,268.66/100,042.68
  6. Step 6: Final answer
    x = 75,498.87

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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.