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Finding the Fourth Proportional to 107,188.80, 160,799.04 and 37,049.28

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Solution

The fourth proportional to 107,188.80, 160,799.04 and 37,049.28 is: 55,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,188.80 : 160,799.04 = 37,049.28 : x
  2. Step 2: Convert to fraction form
    107,188.80/160,799.04 = 37,049.28/x
  3. Step 3: Cross multiply
    107,188.80x = 160,799.04 × 37,049.28
  4. Step 4: Simplify right side
    107,188.80x = 5,957,488,656.69
  5. Step 5: Solve for x
    x = 5,957,488,656.69/107,188.80
  6. Step 6: Final answer
    x = 55,579.40

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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.