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Finding the Fourth Proportional to 32,750, 45,195.12 and 17,846

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Solution

The fourth proportional to 32,750, 45,195.12 and 17,846 is: 24,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,750 : 45,195.12 = 17,846 : x
  2. Step 2: Convert to fraction form
    32,750/45,195.12 = 17,846/x
  3. Step 3: Cross multiply
    32,750x = 45,195.12 × 17,846
  4. Step 4: Simplify right side
    32,750x = 806,552,111.52
  5. Step 5: Solve for x
    x = 806,552,111.52/32,750
  6. Step 6: Final answer
    x = 24,627.55

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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.