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Finding the Fourth Proportional to 82,021.20, 123,031.80 and 40,549.20

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Solution

The fourth proportional to 82,021.20, 123,031.80 and 40,549.20 is: 60,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,021.20 : 123,031.80 = 40,549.20 : x
  2. Step 2: Convert to fraction form
    82,021.20/123,031.80 = 40,549.20/x
  3. Step 3: Cross multiply
    82,021.20x = 123,031.80 × 40,549.20
  4. Step 4: Simplify right side
    82,021.20x = 4,988,841,064.56
  5. Step 5: Solve for x
    x = 4,988,841,064.56/82,021.20
  6. Step 6: Final answer
    x = 60,823.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.