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Finding the Fourth Proportional to 82,253.04, 123,094.44 and 50,649

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Solution

The fourth proportional to 82,253.04, 123,094.44 and 50,649 is: 75,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,253.04 : 123,094.44 = 50,649 : x
  2. Step 2: Convert to fraction form
    82,253.04/123,094.44 = 50,649/x
  3. Step 3: Cross multiply
    82,253.04x = 123,094.44 × 50,649
  4. Step 4: Simplify right side
    82,253.04x = 6,234,610,291.56
  5. Step 5: Solve for x
    x = 6,234,610,291.56/82,253.04
  6. Step 6: Final answer
    x = 75,797.93

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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.