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Finding the Fourth Proportional to 32,500, 44,850 and 17,596

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Solution

The fourth proportional to 32,500, 44,850 and 17,596 is: 24,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500 : 44,850 = 17,596 : x
  2. Step 2: Convert to fraction form
    32,500/44,850 = 17,596/x
  3. Step 3: Cross multiply
    32,500x = 44,850 × 17,596
  4. Step 4: Simplify right side
    32,500x = 789,180,600
  5. Step 5: Solve for x
    x = 789,180,600/32,500
  6. Step 6: Final answer
    x = 24,282.48

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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.