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Finding the Fourth Proportional to 32,082.94, 48,131.69 and 14,557.78

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Solution

The fourth proportional to 32,082.94, 48,131.69 and 14,557.78 is: 21,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.94 : 48,131.69 = 14,557.78 : x
  2. Step 2: Convert to fraction form
    32,082.94/48,131.69 = 14,557.78/x
  3. Step 3: Cross multiply
    32,082.94x = 48,131.69 × 14,557.78
  4. Step 4: Simplify right side
    32,082.94x = 700,690,554.05
  5. Step 5: Solve for x
    x = 700,690,554.05/32,082.94
  6. Step 6: Final answer
    x = 21,839.97

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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.