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Finding the Fourth Proportional to 32,497, 44,845.92 and 17,593

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Solution

The fourth proportional to 32,497, 44,845.92 and 17,593 is: 24,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497 : 44,845.92 = 17,593 : x
  2. Step 2: Convert to fraction form
    32,497/44,845.92 = 17,593/x
  3. Step 3: Cross multiply
    32,497x = 44,845.92 × 17,593
  4. Step 4: Simplify right side
    32,497x = 788,974,270.56
  5. Step 5: Solve for x
    x = 788,974,270.56/32,497
  6. Step 6: Final answer
    x = 24,278.37

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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.