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Finding the Fourth Proportional to 65,480.38, 90,348.94 and 38,613.08

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Solution

The fourth proportional to 65,480.38, 90,348.94 and 38,613.08 is: 53,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,480.38 : 90,348.94 = 38,613.08 : x
  2. Step 2: Convert to fraction form
    65,480.38/90,348.94 = 38,613.08/x
  3. Step 3: Cross multiply
    65,480.38x = 90,348.94 × 38,613.08
  4. Step 4: Simplify right side
    65,480.38x = 3,488,650,848.14
  5. Step 5: Solve for x
    x = 3,488,650,848.14/65,480.38
  6. Step 6: Final answer
    x = 53,277.80

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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.