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Finding the Fourth Proportional to 77,169.52, 115,753.08 and 24,578.56

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Solution

The fourth proportional to 77,169.52, 115,753.08 and 24,578.56 is: 36,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,169.52 : 115,753.08 = 24,578.56 : x
  2. Step 2: Convert to fraction form
    77,169.52/115,753.08 = 24,578.56/x
  3. Step 3: Cross multiply
    77,169.52x = 115,753.08 × 24,578.56
  4. Step 4: Simplify right side
    77,169.52x = 2,845,044,021.96
  5. Step 5: Solve for x
    x = 2,845,044,021.96/77,169.52
  6. Step 6: Final answer
    x = 36,867.46

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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.