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Finding the Fourth Proportional to 82,763.04, 124,143.12 and 20,433.60

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Solution

The fourth proportional to 82,763.04, 124,143.12 and 20,433.60 is: 30,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,763.04 : 124,143.12 = 20,433.60 : x
  2. Step 2: Convert to fraction form
    82,763.04/124,143.12 = 20,433.60/x
  3. Step 3: Cross multiply
    82,763.04x = 124,143.12 × 20,433.60
  4. Step 4: Simplify right side
    82,763.04x = 2,536,690,856.83
  5. Step 5: Solve for x
    x = 2,536,690,856.83/82,763.04
  6. Step 6: Final answer
    x = 30,650.04

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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.