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Finding the Fourth Proportional to 82,113.60, 123,159.77 and 25,959.38

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Solution

The fourth proportional to 82,113.60, 123,159.77 and 25,959.38 is: 38,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,113.60 : 123,159.77 = 25,959.38 : x
  2. Step 2: Convert to fraction form
    82,113.60/123,159.77 = 25,959.38/x
  3. Step 3: Cross multiply
    82,113.60x = 123,159.77 × 25,959.38
  4. Step 4: Simplify right side
    82,113.60x = 3,197,150,524.55
  5. Step 5: Solve for x
    x = 3,197,150,524.55/82,113.60
  6. Step 6: Final answer
    x = 38,935.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.