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Finding the Fourth Proportional to 75,980.54, 113,909.73 and 52,217.66

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Solution

The fourth proportional to 75,980.54, 113,909.73 and 52,217.66 is: 78,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980.54 : 113,909.73 = 52,217.66 : x
  2. Step 2: Convert to fraction form
    75,980.54/113,909.73 = 52,217.66/x
  3. Step 3: Cross multiply
    75,980.54x = 113,909.73 × 52,217.66
  4. Step 4: Simplify right side
    75,980.54x = 5,948,099,551.83
  5. Step 5: Solve for x
    x = 5,948,099,551.83/75,980.54
  6. Step 6: Final answer
    x = 78,284.51

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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.