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Finding the Fourth Proportional to 57,199.88, 78,935.77 and 34,843.88

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Solution

The fourth proportional to 57,199.88, 78,935.77 and 34,843.88 is: 48,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,199.88 : 78,935.77 = 34,843.88 : x
  2. Step 2: Convert to fraction form
    57,199.88/78,935.77 = 34,843.88/x
  3. Step 3: Cross multiply
    57,199.88x = 78,935.77 × 34,843.88
  4. Step 4: Simplify right side
    57,199.88x = 2,750,428,497.59
  5. Step 5: Solve for x
    x = 2,750,428,497.59/57,199.88
  6. Step 6: Final answer
    x = 48,084.52

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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.