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Finding the Fourth Proportional to 75,296.80, 112,945.20 and 41,471.20

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Solution

The fourth proportional to 75,296.80, 112,945.20 and 41,471.20 is: 62,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,296.80 : 112,945.20 = 41,471.20 : x
  2. Step 2: Convert to fraction form
    75,296.80/112,945.20 = 41,471.20/x
  3. Step 3: Cross multiply
    75,296.80x = 112,945.20 × 41,471.20
  4. Step 4: Simplify right side
    75,296.80x = 4,683,972,978.24
  5. Step 5: Solve for x
    x = 4,683,972,978.24/75,296.80
  6. Step 6: Final answer
    x = 62,206.80

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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.