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Finding the Fourth Proportional to 83,138.48, 124,692.72 and 23,959.60

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Solution

The fourth proportional to 83,138.48, 124,692.72 and 23,959.60 is: 35,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138.48 : 124,692.72 = 23,959.60 : x
  2. Step 2: Convert to fraction form
    83,138.48/124,692.72 = 23,959.60/x
  3. Step 3: Cross multiply
    83,138.48x = 124,692.72 × 23,959.60
  4. Step 4: Simplify right side
    83,138.48x = 2,987,587,694.11
  5. Step 5: Solve for x
    x = 2,987,587,694.11/83,138.48
  6. Step 6: Final answer
    x = 35,935.08

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Why These Related Problems?

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