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Finding the Fourth Proportional to 82,407.20, 123,610.80 and 49,164.80

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Solution

The fourth proportional to 82,407.20, 123,610.80 and 49,164.80 is: 73,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.20 : 123,610.80 = 49,164.80 : x
  2. Step 2: Convert to fraction form
    82,407.20/123,610.80 = 49,164.80/x
  3. Step 3: Cross multiply
    82,407.20x = 123,610.80 × 49,164.80
  4. Step 4: Simplify right side
    82,407.20x = 6,077,300,259.84
  5. Step 5: Solve for x
    x = 6,077,300,259.84/82,407.20
  6. Step 6: Final answer
    x = 73,747.20

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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.