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Finding the Fourth Proportional to 70,922.41, 106,399.41 and 30,947.84

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Solution

The fourth proportional to 70,922.41, 106,399.41 and 30,947.84 is: 46,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,922.41 : 106,399.41 = 30,947.84 : x
  2. Step 2: Convert to fraction form
    70,922.41/106,399.41 = 30,947.84/x
  3. Step 3: Cross multiply
    70,922.41x = 106,399.41 × 30,947.84
  4. Step 4: Simplify right side
    70,922.41x = 3,292,832,182.77
  5. Step 5: Solve for x
    x = 3,292,832,182.77/70,922.41
  6. Step 6: Final answer
    x = 46,428.66

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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.