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Finding the Fourth Proportional to 57,198.88, 78,934.39 and 34,842.88

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Solution

The fourth proportional to 57,198.88, 78,934.39 and 34,842.88 is: 48,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,198.88 : 78,934.39 = 34,842.88 : x
  2. Step 2: Convert to fraction form
    57,198.88/78,934.39 = 34,842.88/x
  3. Step 3: Cross multiply
    57,198.88x = 78,934.39 × 34,842.88
  4. Step 4: Simplify right side
    57,198.88x = 2,750,301,478.64
  5. Step 5: Solve for x
    x = 2,750,301,478.64/57,198.88
  6. Step 6: Final answer
    x = 48,083.14

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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.