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Finding the Fourth Proportional to 83,246.32, 124,881.90 and 30,651.82

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Solution

The fourth proportional to 83,246.32, 124,881.90 and 30,651.82 is: 45,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,246.32 : 124,881.90 = 30,651.82 : x
  2. Step 2: Convert to fraction form
    83,246.32/124,881.90 = 30,651.82/x
  3. Step 3: Cross multiply
    83,246.32x = 124,881.90 × 30,651.82
  4. Step 4: Simplify right side
    83,246.32x = 3,827,857,520.06
  5. Step 5: Solve for x
    x = 3,827,857,520.06/83,246.32
  6. Step 6: Final answer
    x = 45,982.30

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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.