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Finding the Fourth Proportional to 64,182.24, 96,233.24 and 24,692.30

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Solution

The fourth proportional to 64,182.24, 96,233.24 and 24,692.30 is: 37,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,182.24 : 96,233.24 = 24,692.30 : x
  2. Step 2: Convert to fraction form
    64,182.24/96,233.24 = 24,692.30/x
  3. Step 3: Cross multiply
    64,182.24x = 96,233.24 × 24,692.30
  4. Step 4: Simplify right side
    64,182.24x = 2,376,220,032.05
  5. Step 5: Solve for x
    x = 2,376,220,032.05/64,182.24
  6. Step 6: Final answer
    x = 37,023.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.