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Finding the Fourth Proportional to 106,533.58, 159,758.85 and 39,937.38

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Solution

The fourth proportional to 106,533.58, 159,758.85 and 39,937.38 is: 59,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,533.58 : 159,758.85 = 39,937.38 : x
  2. Step 2: Convert to fraction form
    106,533.58/159,758.85 = 39,937.38/x
  3. Step 3: Cross multiply
    106,533.58x = 159,758.85 × 39,937.38
  4. Step 4: Simplify right side
    106,533.58x = 6,380,348,902.33
  5. Step 5: Solve for x
    x = 6,380,348,902.33/106,533.58
  6. Step 6: Final answer
    x = 59,890.50

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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.