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Finding the Fourth Proportional to 69,714.66, 96,206.76 and 37,883.70

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Solution

The fourth proportional to 69,714.66, 96,206.76 and 37,883.70 is: 52,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,714.66 : 96,206.76 = 37,883.70 : x
  2. Step 2: Convert to fraction form
    69,714.66/96,206.76 = 37,883.70/x
  3. Step 3: Cross multiply
    69,714.66x = 96,206.76 × 37,883.70
  4. Step 4: Simplify right side
    69,714.66x = 3,644,668,033.81
  5. Step 5: Solve for x
    x = 3,644,668,033.81/69,714.66
  6. Step 6: Final answer
    x = 52,279.79

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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.