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Finding the Fourth Proportional to 75,046.48, 103,519.02 and 49,553.08

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Solution

The fourth proportional to 75,046.48, 103,519.02 and 49,553.08 is: 68,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,046.48 : 103,519.02 = 49,553.08 : x
  2. Step 2: Convert to fraction form
    75,046.48/103,519.02 = 49,553.08/x
  3. Step 3: Cross multiply
    75,046.48x = 103,519.02 × 49,553.08
  4. Step 4: Simplify right side
    75,046.48x = 5,129,686,279.58
  5. Step 5: Solve for x
    x = 5,129,686,279.58/75,046.48
  6. Step 6: Final answer
    x = 68,353.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.