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Finding the Fourth Proportional to 75,077.20, 112,324.20 and 48,833.20

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Solution

The fourth proportional to 75,077.20, 112,324.20 and 48,833.20 is: 73,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,077.20 : 112,324.20 = 48,833.20 : x
  2. Step 2: Convert to fraction form
    75,077.20/112,324.20 = 48,833.20/x
  3. Step 3: Cross multiply
    75,077.20x = 112,324.20 × 48,833.20
  4. Step 4: Simplify right side
    75,077.20x = 5,485,150,123.44
  5. Step 5: Solve for x
    x = 5,485,150,123.44/75,077.20
  6. Step 6: Final answer
    x = 73,060.13

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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.