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Finding the Fourth Proportional to 51,424.40, 77,266.20 and 32,713.40

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Solution

The fourth proportional to 51,424.40, 77,266.20 and 32,713.40 is: 49,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,424.40 : 77,266.20 = 32,713.40 : x
  2. Step 2: Convert to fraction form
    51,424.40/77,266.20 = 32,713.40/x
  3. Step 3: Cross multiply
    51,424.40x = 77,266.20 × 32,713.40
  4. Step 4: Simplify right side
    51,424.40x = 2,527,640,107.08
  5. Step 5: Solve for x
    x = 2,527,640,107.08/51,424.40
  6. Step 6: Final answer
    x = 49,152.54

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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.