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Finding the Fourth Proportional to 106,338.70, 159,508.03 and 31,453.01

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Solution

The fourth proportional to 106,338.70, 159,508.03 and 31,453.01 is: 47,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,338.70 : 159,508.03 = 31,453.01 : x
  2. Step 2: Convert to fraction form
    106,338.70/159,508.03 = 31,453.01/x
  3. Step 3: Cross multiply
    106,338.70x = 159,508.03 × 31,453.01
  4. Step 4: Simplify right side
    106,338.70x = 5,017,007,662.67
  5. Step 5: Solve for x
    x = 5,017,007,662.67/106,338.70
  6. Step 6: Final answer
    x = 47,179.51

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1.5x scale

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.