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Finding the Fourth Proportional to 43,491.89, 65,234.16 and 13,901.78

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Solution

The fourth proportional to 43,491.89, 65,234.16 and 13,901.78 is: 20,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,491.89 : 65,234.16 = 13,901.78 : x
  2. Step 2: Convert to fraction form
    43,491.89/65,234.16 = 13,901.78/x
  3. Step 3: Cross multiply
    43,491.89x = 65,234.16 × 13,901.78
  4. Step 4: Simplify right side
    43,491.89x = 906,871,103.89
  5. Step 5: Solve for x
    x = 906,871,103.89/43,491.89
  6. Step 6: Final answer
    x = 20,851.50

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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.