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Finding the Fourth Proportional to 32,468.12, 48,672.94 and 11,677

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Solution

The fourth proportional to 32,468.12, 48,672.94 and 11,677 is: 17,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.12 : 48,672.94 = 11,677 : x
  2. Step 2: Convert to fraction form
    32,468.12/48,672.94 = 11,677/x
  3. Step 3: Cross multiply
    32,468.12x = 48,672.94 × 11,677
  4. Step 4: Simplify right side
    32,468.12x = 568,353,920.38
  5. Step 5: Solve for x
    x = 568,353,920.38/32,468.12
  6. Step 6: Final answer
    x = 17,504.98

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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.