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Finding the Fourth Proportional to 83,842.92, 115,714.98 and 52,022.07

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Solution

The fourth proportional to 83,842.92, 115,714.98 and 52,022.07 is: 71,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.92 : 115,714.98 = 52,022.07 : x
  2. Step 2: Convert to fraction form
    83,842.92/115,714.98 = 52,022.07/x
  3. Step 3: Cross multiply
    83,842.92x = 115,714.98 × 52,022.07
  4. Step 4: Simplify right side
    83,842.92x = 6,019,732,789.61
  5. Step 5: Solve for x
    x = 6,019,732,789.61/83,842.92
  6. Step 6: Final answer
    x = 71,797.75

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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.