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Finding the Fourth Proportional to 76,882.68, 106,098.12 and 43,348.68

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Solution

The fourth proportional to 76,882.68, 106,098.12 and 43,348.68 is: 59,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,882.68 : 106,098.12 = 43,348.68 : x
  2. Step 2: Convert to fraction form
    76,882.68/106,098.12 = 43,348.68/x
  3. Step 3: Cross multiply
    76,882.68x = 106,098.12 × 43,348.68
  4. Step 4: Simplify right side
    76,882.68x = 4,599,213,452.48
  5. Step 5: Solve for x
    x = 4,599,213,452.48/76,882.68
  6. Step 6: Final answer
    x = 59,821.19

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1.5x scale

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.