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Finding the Fourth Proportional to 65,338.52, 90,164.48 and 38,482.16

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Solution

The fourth proportional to 65,338.52, 90,164.48 and 38,482.16 is: 53,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,338.52 : 90,164.48 = 38,482.16 : x
  2. Step 2: Convert to fraction form
    65,338.52/90,164.48 = 38,482.16/x
  3. Step 3: Cross multiply
    65,338.52x = 90,164.48 × 38,482.16
  4. Step 4: Simplify right side
    65,338.52x = 3,469,723,945.68
  5. Step 5: Solve for x
    x = 3,469,723,945.68/65,338.52
  6. Step 6: Final answer
    x = 53,103.80

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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.