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Finding the Fourth Proportional to 65,386.74, 90,232.84 and 38,530.38

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Solution

The fourth proportional to 65,386.74, 90,232.84 and 38,530.38 is: 53,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,386.74 : 90,232.84 = 38,530.38 : x
  2. Step 2: Convert to fraction form
    65,386.74/90,232.84 = 38,530.38/x
  3. Step 3: Cross multiply
    65,386.74x = 90,232.84 × 38,530.38
  4. Step 4: Simplify right side
    65,386.74x = 3,476,705,613.68
  5. Step 5: Solve for x
    x = 3,476,705,613.68/65,386.74
  6. Step 6: Final answer
    x = 53,171.42

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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.