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Finding the Fourth Proportional to 70,351.72, 97,081.38 and 38,514.28

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Solution

The fourth proportional to 70,351.72, 97,081.38 and 38,514.28 is: 53,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,351.72 : 97,081.38 = 38,514.28 : x
  2. Step 2: Convert to fraction form
    70,351.72/97,081.38 = 38,514.28/x
  3. Step 3: Cross multiply
    70,351.72x = 97,081.38 × 38,514.28
  4. Step 4: Simplify right side
    70,351.72x = 3,739,019,452.11
  5. Step 5: Solve for x
    x = 3,739,019,452.11/70,351.72
  6. Step 6: Final answer
    x = 53,147.52

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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.