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Finding the Fourth Proportional to 37,458.20, 51,657.11 and 27,919.24

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Solution

The fourth proportional to 37,458.20, 51,657.11 and 27,919.24 is: 38,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,458.20 : 51,657.11 = 27,919.24 : x
  2. Step 2: Convert to fraction form
    37,458.20/51,657.11 = 27,919.24/x
  3. Step 3: Cross multiply
    37,458.20x = 51,657.11 × 27,919.24
  4. Step 4: Simplify right side
    37,458.20x = 1,442,227,182.97
  5. Step 5: Solve for x
    x = 1,442,227,182.97/37,458.20
  6. Step 6: Final answer
    x = 38,502.31

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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.