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Finding the Fourth Proportional to 75,189.48, 103,714.56 and 48,366.96

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Solution

The fourth proportional to 75,189.48, 103,714.56 and 48,366.96 is: 66,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,189.48 : 103,714.56 = 48,366.96 : x
  2. Step 2: Convert to fraction form
    75,189.48/103,714.56 = 48,366.96/x
  3. Step 3: Cross multiply
    75,189.48x = 103,714.56 × 48,366.96
  4. Step 4: Simplify right side
    75,189.48x = 5,016,357,974.94
  5. Step 5: Solve for x
    x = 5,016,357,974.94/75,189.48
  6. Step 6: Final answer
    x = 66,716.22

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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.