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Finding the Fourth Proportional to 32,503, 44,854.14 and 17,599

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Solution

The fourth proportional to 32,503, 44,854.14 and 17,599 is: 24,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503 : 44,854.14 = 17,599 : x
  2. Step 2: Convert to fraction form
    32,503/44,854.14 = 17,599/x
  3. Step 3: Cross multiply
    32,503x = 44,854.14 × 17,599
  4. Step 4: Simplify right side
    32,503x = 789,388,009.86
  5. Step 5: Solve for x
    x = 789,388,009.86/32,503
  6. Step 6: Final answer
    x = 24,286.62

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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.