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Finding the Fourth Proportional to 80,803.44, 121,223.52 and 24,648.57

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Solution

The fourth proportional to 80,803.44, 121,223.52 and 24,648.57 is: 36,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,803.44 : 121,223.52 = 24,648.57 : x
  2. Step 2: Convert to fraction form
    80,803.44/121,223.52 = 24,648.57/x
  3. Step 3: Cross multiply
    80,803.44x = 121,223.52 × 24,648.57
  4. Step 4: Simplify right side
    80,803.44x = 2,987,986,418.37
  5. Step 5: Solve for x
    x = 2,987,986,418.37/80,803.44
  6. Step 6: Final answer
    x = 36,978.46

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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.