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Finding the Fourth Proportional to 32,207.52, 48,309.12 and 8,832

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Solution

The fourth proportional to 32,207.52, 48,309.12 and 8,832 is: 13,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.52 : 48,309.12 = 8,832 : x
  2. Step 2: Convert to fraction form
    32,207.52/48,309.12 = 8,832/x
  3. Step 3: Cross multiply
    32,207.52x = 48,309.12 × 8,832
  4. Step 4: Simplify right side
    32,207.52x = 426,666,147.84
  5. Step 5: Solve for x
    x = 426,666,147.84/32,207.52
  6. Step 6: Final answer
    x = 13,247.41

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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.