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Finding the Fourth Proportional to 29,755.50, 41,062.59 and 16,507.50

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Solution

The fourth proportional to 29,755.50, 41,062.59 and 16,507.50 is: 22,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,755.50 : 41,062.59 = 16,507.50 : x
  2. Step 2: Convert to fraction form
    29,755.50/41,062.59 = 16,507.50/x
  3. Step 3: Cross multiply
    29,755.50x = 41,062.59 × 16,507.50
  4. Step 4: Simplify right side
    29,755.50x = 677,840,704.43
  5. Step 5: Solve for x
    x = 677,840,704.43/29,755.50
  6. Step 6: Final answer
    x = 22,780.35

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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.