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Finding the Fourth Proportional to 37,785.38, 52,143.80 and 20,789.24

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Solution

The fourth proportional to 37,785.38, 52,143.80 and 20,789.24 is: 28,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,785.38 : 52,143.80 = 20,789.24 : x
  2. Step 2: Convert to fraction form
    37,785.38/52,143.80 = 20,789.24/x
  3. Step 3: Cross multiply
    37,785.38x = 52,143.80 × 20,789.24
  4. Step 4: Simplify right side
    37,785.38x = 1,084,030,155.04
  5. Step 5: Solve for x
    x = 1,084,030,155.04/37,785.38
  6. Step 6: Final answer
    x = 28,689.15

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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.