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Finding the Fourth Proportional to 75,874.32, 113,782.32 and 52,429.68

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Solution

The fourth proportional to 75,874.32, 113,782.32 and 52,429.68 is: 78,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.32 : 113,782.32 = 52,429.68 : x
  2. Step 2: Convert to fraction form
    75,874.32/113,782.32 = 52,429.68/x
  3. Step 3: Cross multiply
    75,874.32x = 113,782.32 × 52,429.68
  4. Step 4: Simplify right side
    75,874.32x = 5,965,570,627.26
  5. Step 5: Solve for x
    x = 5,965,570,627.26/75,874.32
  6. Step 6: Final answer
    x = 78,624.37

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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.