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Finding the Fourth Proportional to 82,762.88, 124,144.72 and 20,433.38

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Solution

The fourth proportional to 82,762.88, 124,144.72 and 20,433.38 is: 30,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.88 : 124,144.72 = 20,433.38 : x
  2. Step 2: Convert to fraction form
    82,762.88/124,144.72 = 20,433.38/x
  3. Step 3: Cross multiply
    82,762.88x = 124,144.72 × 20,433.38
  4. Step 4: Simplify right side
    82,762.88x = 2,536,695,566.95
  5. Step 5: Solve for x
    x = 2,536,695,566.95/82,762.88
  6. Step 6: Final answer
    x = 30,650.16

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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.