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Finding the Fourth Proportional to 82,762.68, 124,145.85 and 20,433.18

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Solution

The fourth proportional to 82,762.68, 124,145.85 and 20,433.18 is: 30,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.68 : 124,145.85 = 20,433.18 : x
  2. Step 2: Convert to fraction form
    82,762.68/124,145.85 = 20,433.18/x
  3. Step 3: Cross multiply
    82,762.68x = 124,145.85 × 20,433.18
  4. Step 4: Simplify right side
    82,762.68x = 2,536,694,499.30
  5. Step 5: Solve for x
    x = 2,536,694,499.30/82,762.68
  6. Step 6: Final answer
    x = 30,650.22

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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.