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Finding the Fourth Proportional to 99,937.92, 137,924.16 and 57,498.24

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Solution

The fourth proportional to 99,937.92, 137,924.16 and 57,498.24 is: 79,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,937.92 : 137,924.16 = 57,498.24 : x
  2. Step 2: Convert to fraction form
    99,937.92/137,924.16 = 57,498.24/x
  3. Step 3: Cross multiply
    99,937.92x = 137,924.16 × 57,498.24
  4. Step 4: Simplify right side
    99,937.92x = 7,930,396,453.48
  5. Step 5: Solve for x
    x = 7,930,396,453.48/99,937.92
  6. Step 6: Final answer
    x = 79,353.23

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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.