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Finding the Fourth Proportional to 65,613.22, 90,543.64 and 38,764.38

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Solution

The fourth proportional to 65,613.22, 90,543.64 and 38,764.38 is: 53,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,613.22 : 90,543.64 = 38,764.38 : x
  2. Step 2: Convert to fraction form
    65,613.22/90,543.64 = 38,764.38/x
  3. Step 3: Cross multiply
    65,613.22x = 90,543.64 × 38,764.38
  4. Step 4: Simplify right side
    65,613.22x = 3,509,868,067.54
  5. Step 5: Solve for x
    x = 3,509,868,067.54/65,613.22
  6. Step 6: Final answer
    x = 53,493.31

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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.