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Finding the Fourth Proportional to 69,731.38, 96,229.65 and 37,900.90

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Solution

The fourth proportional to 69,731.38, 96,229.65 and 37,900.90 is: 52,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,731.38 : 96,229.65 = 37,900.90 : x
  2. Step 2: Convert to fraction form
    69,731.38/96,229.65 = 37,900.90/x
  3. Step 3: Cross multiply
    69,731.38x = 96,229.65 × 37,900.90
  4. Step 4: Simplify right side
    69,731.38x = 3,647,190,341.69
  5. Step 5: Solve for x
    x = 3,647,190,341.69/69,731.38
  6. Step 6: Final answer
    x = 52,303.43

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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.