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Finding the Fourth Proportional to 41,757.16, 62,642.22 and 14,053

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Solution

The fourth proportional to 41,757.16, 62,642.22 and 14,053 is: 21,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,757.16 : 62,642.22 = 14,053 : x
  2. Step 2: Convert to fraction form
    41,757.16/62,642.22 = 14,053/x
  3. Step 3: Cross multiply
    41,757.16x = 62,642.22 × 14,053
  4. Step 4: Simplify right side
    41,757.16x = 880,311,117.66
  5. Step 5: Solve for x
    x = 880,311,117.66/41,757.16
  6. Step 6: Final answer
    x = 21,081.68

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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.