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Finding the Fourth Proportional to 106,485.80, 159,747.83 and 36,348.71

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Solution

The fourth proportional to 106,485.80, 159,747.83 and 36,348.71 is: 54,529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,485.80 : 159,747.83 = 36,348.71 : x
  2. Step 2: Convert to fraction form
    106,485.80/159,747.83 = 36,348.71/x
  3. Step 3: Cross multiply
    106,485.80x = 159,747.83 × 36,348.71
  4. Step 4: Simplify right side
    106,485.80x = 5,806,627,364.06
  5. Step 5: Solve for x
    x = 5,806,627,364.06/106,485.80
  6. Step 6: Final answer
    x = 54,529.59

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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.