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Finding the Fourth Proportional to 32,795, 45,257.58 and 17,891

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Solution

The fourth proportional to 32,795, 45,257.58 and 17,891 is: 24,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,795 : 45,257.58 = 17,891 : x
  2. Step 2: Convert to fraction form
    32,795/45,257.58 = 17,891/x
  3. Step 3: Cross multiply
    32,795x = 45,257.58 × 17,891
  4. Step 4: Simplify right side
    32,795x = 809,703,363.78
  5. Step 5: Solve for x
    x = 809,703,363.78/32,795
  6. Step 6: Final answer
    x = 24,689.84

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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.