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Finding the Fourth Proportional to 41,500, 62,250.54 and 13,798

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Solution

The fourth proportional to 41,500, 62,250.54 and 13,798 is: 20,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,500 : 62,250.54 = 13,798 : x
  2. Step 2: Convert to fraction form
    41,500/62,250.54 = 13,798/x
  3. Step 3: Cross multiply
    41,500x = 62,250.54 × 13,798
  4. Step 4: Simplify right side
    41,500x = 858,932,950.92
  5. Step 5: Solve for x
    x = 858,932,950.92/41,500
  6. Step 6: Final answer
    x = 20,697.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.