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Finding the Fourth Proportional to 32,401, 44,713.38 and 17,497

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Solution

The fourth proportional to 32,401, 44,713.38 and 17,497 is: 24,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401 : 44,713.38 = 17,497 : x
  2. Step 2: Convert to fraction form
    32,401/44,713.38 = 17,497/x
  3. Step 3: Cross multiply
    32,401x = 44,713.38 × 17,497
  4. Step 4: Simplify right side
    32,401x = 782,350,009.86
  5. Step 5: Solve for x
    x = 782,350,009.86/32,401
  6. Step 6: Final answer
    x = 24,145.86

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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.