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Finding the Fourth Proportional to 75,408, 104,065.92 and 41,873.28

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Solution

The fourth proportional to 75,408, 104,065.92 and 41,873.28 is: 57,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,408 : 104,065.92 = 41,873.28 : x
  2. Step 2: Convert to fraction form
    75,408/104,065.92 = 41,873.28/x
  3. Step 3: Cross multiply
    75,408x = 104,065.92 × 41,873.28
  4. Step 4: Simplify right side
    75,408x = 4,357,581,406.62
  5. Step 5: Solve for x
    x = 4,357,581,406.62/75,408
  6. Step 6: Final answer
    x = 57,786.73

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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.