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Finding the Fourth Proportional to 51,006.38, 76,520.50 and 21,449.07

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Solution

The fourth proportional to 51,006.38, 76,520.50 and 21,449.07 is: 32,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,006.38 : 76,520.50 = 21,449.07 : x
  2. Step 2: Convert to fraction form
    51,006.38/76,520.50 = 21,449.07/x
  3. Step 3: Cross multiply
    51,006.38x = 76,520.50 × 21,449.07
  4. Step 4: Simplify right side
    51,006.38x = 1,641,293,507.31
  5. Step 5: Solve for x
    x = 1,641,293,507.31/51,006.38
  6. Step 6: Final answer
    x = 32,178.20

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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.