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Finding the Fourth Proportional to 32,047.20, 48,073.20 and 8,673.24

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Solution

The fourth proportional to 32,047.20, 48,073.20 and 8,673.24 is: 13,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.20 : 48,073.20 = 8,673.24 : x
  2. Step 2: Convert to fraction form
    32,047.20/48,073.20 = 8,673.24/x
  3. Step 3: Cross multiply
    32,047.20x = 48,073.20 × 8,673.24
  4. Step 4: Simplify right side
    32,047.20x = 416,950,401.17
  5. Step 5: Solve for x
    x = 416,950,401.17/32,047.20
  6. Step 6: Final answer
    x = 13,010.51

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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.