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Finding the Fourth Proportional to 32,196.21, 48,293.80 and 8,822.65

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Solution

The fourth proportional to 32,196.21, 48,293.80 and 8,822.65 is: 13,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.21 : 48,293.80 = 8,822.65 : x
  2. Step 2: Convert to fraction form
    32,196.21/48,293.80 = 8,822.65/x
  3. Step 3: Cross multiply
    32,196.21x = 48,293.80 × 8,822.65
  4. Step 4: Simplify right side
    32,196.21x = 426,079,053.10
  5. Step 5: Solve for x
    x = 426,079,053.10/32,196.21
  6. Step 6: Final answer
    x = 13,233.83

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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.