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Finding the Fourth Proportional to 51,947.56, 71,687.64 and 28,074.19

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Solution

The fourth proportional to 51,947.56, 71,687.64 and 28,074.19 is: 38,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,947.56 : 71,687.64 = 28,074.19 : x
  2. Step 2: Convert to fraction form
    51,947.56/71,687.64 = 28,074.19/x
  3. Step 3: Cross multiply
    51,947.56x = 71,687.64 × 28,074.19
  4. Step 4: Simplify right side
    51,947.56x = 2,012,572,426.01
  5. Step 5: Solve for x
    x = 2,012,572,426.01/51,947.56
  6. Step 6: Final answer
    x = 38,742.39

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Why These Related Problems?

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