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Finding the Fourth Proportional to 51,395.46, 70,947.56 and 31,258.78

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Solution

The fourth proportional to 51,395.46, 70,947.56 and 31,258.78 is: 43,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,395.46 : 70,947.56 = 31,258.78 : x
  2. Step 2: Convert to fraction form
    51,395.46/70,947.56 = 31,258.78/x
  3. Step 3: Cross multiply
    51,395.46x = 70,947.56 × 31,258.78
  4. Step 4: Simplify right side
    51,395.46x = 2,217,734,169.58
  5. Step 5: Solve for x
    x = 2,217,734,169.58/51,395.46
  6. Step 6: Final answer
    x = 43,150.39

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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.