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Finding the Fourth Proportional to 64,003.20, 96,212.16 and 63,692.16

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Solution

The fourth proportional to 64,003.20, 96,212.16 and 63,692.16 is: 95,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,003.20 : 96,212.16 = 63,692.16 : x
  2. Step 2: Convert to fraction form
    64,003.20/96,212.16 = 63,692.16/x
  3. Step 3: Cross multiply
    64,003.20x = 96,212.16 × 63,692.16
  4. Step 4: Simplify right side
    64,003.20x = 6,127,960,288.67
  5. Step 5: Solve for x
    x = 6,127,960,288.67/64,003.20
  6. Step 6: Final answer
    x = 95,744.59

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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.