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Finding the Fourth Proportional to 29,047.12, 43,572.30 and 8,269

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Solution

The fourth proportional to 29,047.12, 43,572.30 and 8,269 is: 12,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,047.12 : 43,572.30 = 8,269 : x
  2. Step 2: Convert to fraction form
    29,047.12/43,572.30 = 8,269/x
  3. Step 3: Cross multiply
    29,047.12x = 43,572.30 × 8,269
  4. Step 4: Simplify right side
    29,047.12x = 360,299,348.70
  5. Step 5: Solve for x
    x = 360,299,348.70/29,047.12
  6. Step 6: Final answer
    x = 12,403.96

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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.