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Finding the Fourth Proportional to 70,947.56, 106,260.24 and 55,024.76

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Solution

The fourth proportional to 70,947.56, 106,260.24 and 55,024.76 is: 82,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947.56 : 106,260.24 = 55,024.76 : x
  2. Step 2: Convert to fraction form
    70,947.56/106,260.24 = 55,024.76/x
  3. Step 3: Cross multiply
    70,947.56x = 106,260.24 × 55,024.76
  4. Step 4: Simplify right side
    70,947.56x = 5,846,944,203.54
  5. Step 5: Solve for x
    x = 5,846,944,203.54/70,947.56
  6. Step 6: Final answer
    x = 82,412.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.