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Finding the Fourth Proportional to 32,250, 48,372.84 and 8,876.64

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Solution

The fourth proportional to 32,250, 48,372.84 and 8,876.64 is: 13,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,250 : 48,372.84 = 8,876.64 : x
  2. Step 2: Convert to fraction form
    32,250/48,372.84 = 8,876.64/x
  3. Step 3: Cross multiply
    32,250x = 48,372.84 × 8,876.64
  4. Step 4: Simplify right side
    32,250x = 429,388,286.46
  5. Step 5: Solve for x
    x = 429,388,286.46/32,250
  6. Step 6: Final answer
    x = 13,314.37

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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.