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Finding the Fourth Proportional to 31,838.76, 47,524.41 and 29,493

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Solution

The fourth proportional to 31,838.76, 47,524.41 and 29,493 is: 44,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838.76 : 47,524.41 = 29,493 : x
  2. Step 2: Convert to fraction form
    31,838.76/47,524.41 = 29,493/x
  3. Step 3: Cross multiply
    31,838.76x = 47,524.41 × 29,493
  4. Step 4: Simplify right side
    31,838.76x = 1,401,637,424.13
  5. Step 5: Solve for x
    x = 1,401,637,424.13/31,838.76
  6. Step 6: Final answer
    x = 44,022.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.