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Finding the Fourth Proportional to 28,250, 38,846.76 and 24,517.52

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Solution

The fourth proportional to 28,250, 38,846.76 and 24,517.52 is: 33,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,250 : 38,846.76 = 24,517.52 : x
  2. Step 2: Convert to fraction form
    28,250/38,846.76 = 24,517.52/x
  3. Step 3: Cross multiply
    28,250x = 38,846.76 × 24,517.52
  4. Step 4: Simplify right side
    28,250x = 952,426,215.24
  5. Step 5: Solve for x
    x = 952,426,215.24/28,250
  6. Step 6: Final answer
    x = 33,714.20

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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.