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Finding the Fourth Proportional to 110,692.52, 166,020.95 and 31,788.80

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Solution

The fourth proportional to 110,692.52, 166,020.95 and 31,788.80 is: 47,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,692.52 : 166,020.95 = 31,788.80 : x
  2. Step 2: Convert to fraction form
    110,692.52/166,020.95 = 31,788.80/x
  3. Step 3: Cross multiply
    110,692.52x = 166,020.95 × 31,788.80
  4. Step 4: Simplify right side
    110,692.52x = 5,277,605,945.26
  5. Step 5: Solve for x
    x = 5,277,605,945.26/110,692.52
  6. Step 6: Final answer
    x = 47,678.07

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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.