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Finding the Fourth Proportional to 70,471.12, 97,251.48 and 38,638.12

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Solution

The fourth proportional to 70,471.12, 97,251.48 and 38,638.12 is: 53,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,471.12 : 97,251.48 = 38,638.12 : x
  2. Step 2: Convert to fraction form
    70,471.12/97,251.48 = 38,638.12/x
  3. Step 3: Cross multiply
    70,471.12x = 97,251.48 × 38,638.12
  4. Step 4: Simplify right side
    70,471.12x = 3,757,614,354.42
  5. Step 5: Solve for x
    x = 3,757,614,354.42/70,471.12
  6. Step 6: Final answer
    x = 53,321.34

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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.