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Finding the Fourth Proportional to 53,803.50, 80,718.22 and 16,867.50

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Solution

The fourth proportional to 53,803.50, 80,718.22 and 16,867.50 is: 25,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,803.50 : 80,718.22 = 16,867.50 : x
  2. Step 2: Convert to fraction form
    53,803.50/80,718.22 = 16,867.50/x
  3. Step 3: Cross multiply
    53,803.50x = 80,718.22 × 16,867.50
  4. Step 4: Simplify right side
    53,803.50x = 1,361,514,575.85
  5. Step 5: Solve for x
    x = 1,361,514,575.85/53,803.50
  6. Step 6: Final answer
    x = 25,305.32

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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.