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Finding the Fourth Proportional to 84,469.10, 116,565.87 and 48,659

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Solution

The fourth proportional to 84,469.10, 116,565.87 and 48,659 is: 67,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,469.10 : 116,565.87 = 48,659 : x
  2. Step 2: Convert to fraction form
    84,469.10/116,565.87 = 48,659/x
  3. Step 3: Cross multiply
    84,469.10x = 116,565.87 × 48,659
  4. Step 4: Simplify right side
    84,469.10x = 5,671,978,668.33
  5. Step 5: Solve for x
    x = 5,671,978,668.33/84,469.10
  6. Step 6: Final answer
    x = 67,148.56

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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.