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Finding the Fourth Proportional to 70,900.92, 106,357.32 and 18,311.40

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Solution

The fourth proportional to 70,900.92, 106,357.32 and 18,311.40 is: 27,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,900.92 : 106,357.32 = 18,311.40 : x
  2. Step 2: Convert to fraction form
    70,900.92/106,357.32 = 18,311.40/x
  3. Step 3: Cross multiply
    70,900.92x = 106,357.32 × 18,311.40
  4. Step 4: Simplify right side
    70,900.92x = 1,947,551,429.45
  5. Step 5: Solve for x
    x = 1,947,551,429.45/70,900.92
  6. Step 6: Final answer
    x = 27,468.63

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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.