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Finding the Fourth Proportional to 83,963.10, 125,835.30 and 34,002.30

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Solution

The fourth proportional to 83,963.10, 125,835.30 and 34,002.30 is: 50,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,963.10 : 125,835.30 = 34,002.30 : x
  2. Step 2: Convert to fraction form
    83,963.10/125,835.30 = 34,002.30/x
  3. Step 3: Cross multiply
    83,963.10x = 125,835.30 × 34,002.30
  4. Step 4: Simplify right side
    83,963.10x = 4,278,689,621.19
  5. Step 5: Solve for x
    x = 4,278,689,621.19/83,963.10
  6. Step 6: Final answer
    x = 50,959.17

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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.