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Finding the Fourth Proportional to 73,692.54, 110,538.45 and 21,102

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Solution

The fourth proportional to 73,692.54, 110,538.45 and 21,102 is: 31,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,692.54 : 110,538.45 = 21,102 : x
  2. Step 2: Convert to fraction form
    73,692.54/110,538.45 = 21,102/x
  3. Step 3: Cross multiply
    73,692.54x = 110,538.45 × 21,102
  4. Step 4: Simplify right side
    73,692.54x = 2,332,582,371.90
  5. Step 5: Solve for x
    x = 2,332,582,371.90/73,692.54
  6. Step 6: Final answer
    x = 31,652.90

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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.