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Finding the Fourth Proportional to 69,714.38, 96,203.21 and 37,882.59

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Solution

The fourth proportional to 69,714.38, 96,203.21 and 37,882.59 is: 52,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,714.38 : 96,203.21 = 37,882.59 : x
  2. Step 2: Convert to fraction form
    69,714.38/96,203.21 = 37,882.59/x
  3. Step 3: Cross multiply
    69,714.38x = 96,203.21 × 37,882.59
  4. Step 4: Simplify right side
    69,714.38x = 3,644,426,571.70
  5. Step 5: Solve for x
    x = 3,644,426,571.70/69,714.38
  6. Step 6: Final answer
    x = 52,276.54

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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.