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Finding the Fourth Proportional to 70,846.97, 106,295.06 and 31,431.76

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Solution

The fourth proportional to 70,846.97, 106,295.06 and 31,431.76 is: 47,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,846.97 : 106,295.06 = 31,431.76 : x
  2. Step 2: Convert to fraction form
    70,846.97/106,295.06 = 31,431.76/x
  3. Step 3: Cross multiply
    70,846.97x = 106,295.06 × 31,431.76
  4. Step 4: Simplify right side
    70,846.97x = 3,341,040,815.11
  5. Step 5: Solve for x
    x = 3,341,040,815.11/70,846.97
  6. Step 6: Final answer
    x = 47,158.56

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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.