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Finding the Fourth Proportional to 70,082.64, 96,713.28 and 38,251.26

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Solution

The fourth proportional to 70,082.64, 96,713.28 and 38,251.26 is: 52,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,082.64 : 96,713.28 = 38,251.26 : x
  2. Step 2: Convert to fraction form
    70,082.64/96,713.28 = 38,251.26/x
  3. Step 3: Cross multiply
    70,082.64x = 96,713.28 × 38,251.26
  4. Step 4: Simplify right side
    70,082.64x = 3,699,404,818.73
  5. Step 5: Solve for x
    x = 3,699,404,818.73/70,082.64
  6. Step 6: Final answer
    x = 52,786.32

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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.