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Finding the Fourth Proportional to 51,596.53, 71,206.09 and 38,826.74

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Solution

The fourth proportional to 51,596.53, 71,206.09 and 38,826.74 is: 53,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,596.53 : 71,206.09 = 38,826.74 : x
  2. Step 2: Convert to fraction form
    51,596.53/71,206.09 = 38,826.74/x
  3. Step 3: Cross multiply
    51,596.53x = 71,206.09 × 38,826.74
  4. Step 4: Simplify right side
    51,596.53x = 2,764,700,423.79
  5. Step 5: Solve for x
    x = 2,764,700,423.79/51,596.53
  6. Step 6: Final answer
    x = 53,583.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.