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Finding the Fourth Proportional to 75,878.32, 113,788.32 and 52,433.68

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Solution

The fourth proportional to 75,878.32, 113,788.32 and 52,433.68 is: 78,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.32 : 113,788.32 = 52,433.68 : x
  2. Step 2: Convert to fraction form
    75,878.32/113,788.32 = 52,433.68/x
  3. Step 3: Cross multiply
    75,878.32x = 113,788.32 × 52,433.68
  4. Step 4: Simplify right side
    75,878.32x = 5,966,340,358.62
  5. Step 5: Solve for x
    x = 5,966,340,358.62/75,878.32
  6. Step 6: Final answer
    x = 78,630.37

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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.