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Finding the Fourth Proportional to 45,009.24, 67,462.02 and 24,189

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Solution

The fourth proportional to 45,009.24, 67,462.02 and 24,189 is: 36,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,009.24 : 67,462.02 = 24,189 : x
  2. Step 2: Convert to fraction form
    45,009.24/67,462.02 = 24,189/x
  3. Step 3: Cross multiply
    45,009.24x = 67,462.02 × 24,189
  4. Step 4: Simplify right side
    45,009.24x = 1,631,838,801.78
  5. Step 5: Solve for x
    x = 1,631,838,801.78/45,009.24
  6. Step 6: Final answer
    x = 36,255.64

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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.