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Finding the Fourth Proportional to 64,062.32, 96,102.67 and 19,692.80

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Solution

The fourth proportional to 64,062.32, 96,102.67 and 19,692.80 is: 29,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,062.32 : 96,102.67 = 19,692.80 : x
  2. Step 2: Convert to fraction form
    64,062.32/96,102.67 = 19,692.80/x
  3. Step 3: Cross multiply
    64,062.32x = 96,102.67 × 19,692.80
  4. Step 4: Simplify right side
    64,062.32x = 1,892,530,527.34
  5. Step 5: Solve for x
    x = 1,892,530,527.34/64,062.32
  6. Step 6: Final answer
    x = 29,542.02

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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.