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Finding the Fourth Proportional to 70,954.41, 106,311.17 and 42,815.33

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Solution

The fourth proportional to 70,954.41, 106,311.17 and 42,815.33 is: 64,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,954.41 : 106,311.17 = 42,815.33 : x
  2. Step 2: Convert to fraction form
    70,954.41/106,311.17 = 42,815.33/x
  3. Step 3: Cross multiply
    70,954.41x = 106,311.17 × 42,815.33
  4. Step 4: Simplify right side
    70,954.41x = 4,551,747,826.24
  5. Step 5: Solve for x
    x = 4,551,747,826.24/70,954.41
  6. Step 6: Final answer
    x = 64,150.32

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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.