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Finding the Fourth Proportional to 32,207.12, 48,305.48 and 8,828.09

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Solution

The fourth proportional to 32,207.12, 48,305.48 and 8,828.09 is: 13,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.12 : 48,305.48 = 8,828.09 : x
  2. Step 2: Convert to fraction form
    32,207.12/48,305.48 = 8,828.09/x
  3. Step 3: Cross multiply
    32,207.12x = 48,305.48 × 8,828.09
  4. Step 4: Simplify right side
    32,207.12x = 426,444,839.27
  5. Step 5: Solve for x
    x = 426,444,839.27/32,207.12
  6. Step 6: Final answer
    x = 13,240.70

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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.