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Finding the Fourth Proportional to 83,266.70, 124,856.85 and 30,649.10

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Solution

The fourth proportional to 83,266.70, 124,856.85 and 30,649.10 is: 45,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266.70 : 124,856.85 = 30,649.10 : x
  2. Step 2: Convert to fraction form
    83,266.70/124,856.85 = 30,649.10/x
  3. Step 3: Cross multiply
    83,266.70x = 124,856.85 × 30,649.10
  4. Step 4: Simplify right side
    83,266.70x = 3,826,750,081.34
  5. Step 5: Solve for x
    x = 3,826,750,081.34/83,266.70
  6. Step 6: Final answer
    x = 45,957.75

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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.