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Finding the Fourth Proportional to 101,907.60, 152,861.40 and 31,786.80

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Solution

The fourth proportional to 101,907.60, 152,861.40 and 31,786.80 is: 47,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,907.60 : 152,861.40 = 31,786.80 : x
  2. Step 2: Convert to fraction form
    101,907.60/152,861.40 = 31,786.80/x
  3. Step 3: Cross multiply
    101,907.60x = 152,861.40 × 31,786.80
  4. Step 4: Simplify right side
    101,907.60x = 4,858,974,749.52
  5. Step 5: Solve for x
    x = 4,858,974,749.52/101,907.60
  6. Step 6: Final answer
    x = 47,680.20

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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.