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Finding the Fourth Proportional to 85,462.38, 117,860.04 and 65,281.74

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Solution

The fourth proportional to 85,462.38, 117,860.04 and 65,281.74 is: 90,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,462.38 : 117,860.04 = 65,281.74 : x
  2. Step 2: Convert to fraction form
    85,462.38/117,860.04 = 65,281.74/x
  3. Step 3: Cross multiply
    85,462.38x = 117,860.04 × 65,281.74
  4. Step 4: Simplify right side
    85,462.38x = 7,694,108,487.67
  5. Step 5: Solve for x
    x = 7,694,108,487.67/85,462.38
  6. Step 6: Final answer
    x = 90,029.19

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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.