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Finding the Fourth Proportional to 65,514.56, 90,407.04 and 38,658.20

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Solution

The fourth proportional to 65,514.56, 90,407.04 and 38,658.20 is: 53,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,514.56 : 90,407.04 = 38,658.20 : x
  2. Step 2: Convert to fraction form
    65,514.56/90,407.04 = 38,658.20/x
  3. Step 3: Cross multiply
    65,514.56x = 90,407.04 × 38,658.20
  4. Step 4: Simplify right side
    65,514.56x = 3,494,973,433.73
  5. Step 5: Solve for x
    x = 3,494,973,433.73/65,514.56
  6. Step 6: Final answer
    x = 53,346.51

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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.