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Finding the Fourth Proportional to 43,472.10, 65,211.75 and 13,894.14

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Solution

The fourth proportional to 43,472.10, 65,211.75 and 13,894.14 is: 20,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,472.10 : 65,211.75 = 13,894.14 : x
  2. Step 2: Convert to fraction form
    43,472.10/65,211.75 = 13,894.14/x
  3. Step 3: Cross multiply
    43,472.10x = 65,211.75 × 13,894.14
  4. Step 4: Simplify right side
    43,472.10x = 906,061,184.15
  5. Step 5: Solve for x
    x = 906,061,184.15/43,472.10
  6. Step 6: Final answer
    x = 20,842.36

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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.