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Finding the Fourth Proportional to 87,085.52, 120,189.14 and 51,278.86

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Solution

The fourth proportional to 87,085.52, 120,189.14 and 51,278.86 is: 70,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,085.52 : 120,189.14 = 51,278.86 : x
  2. Step 2: Convert to fraction form
    87,085.52/120,189.14 = 51,278.86/x
  3. Step 3: Cross multiply
    87,085.52x = 120,189.14 × 51,278.86
  4. Step 4: Simplify right side
    87,085.52x = 6,163,162,169.72
  5. Step 5: Solve for x
    x = 6,163,162,169.72/87,085.52
  6. Step 6: Final answer
    x = 70,771.38

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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.