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Finding the Fourth Proportional to 83,693.64, 115,463.84 and 53,471.13

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Solution

The fourth proportional to 83,693.64, 115,463.84 and 53,471.13 is: 73,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,693.64 : 115,463.84 = 53,471.13 : x
  2. Step 2: Convert to fraction form
    83,693.64/115,463.84 = 53,471.13/x
  3. Step 3: Cross multiply
    83,693.64x = 115,463.84 × 53,471.13
  4. Step 4: Simplify right side
    83,693.64x = 6,173,981,731.58
  5. Step 5: Solve for x
    x = 6,173,981,731.58/83,693.64
  6. Step 6: Final answer
    x = 73,768.83

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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.