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Finding the Fourth Proportional to 29,738.50, 41,039.13 and 16,490.50

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Solution

The fourth proportional to 29,738.50, 41,039.13 and 16,490.50 is: 22,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.50 : 41,039.13 = 16,490.50 : x
  2. Step 2: Convert to fraction form
    29,738.50/41,039.13 = 16,490.50/x
  3. Step 3: Cross multiply
    29,738.50x = 41,039.13 × 16,490.50
  4. Step 4: Simplify right side
    29,738.50x = 676,755,773.27
  5. Step 5: Solve for x
    x = 676,755,773.27/29,738.50
  6. Step 6: Final answer
    x = 22,756.89

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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.