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Finding the Fourth Proportional to 32,252.88, 48,379.50 and 11,478

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Solution

The fourth proportional to 32,252.88, 48,379.50 and 11,478 is: 17,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,252.88 : 48,379.50 = 11,478 : x
  2. Step 2: Convert to fraction form
    32,252.88/48,379.50 = 11,478/x
  3. Step 3: Cross multiply
    32,252.88x = 48,379.50 × 11,478
  4. Step 4: Simplify right side
    32,252.88x = 555,299,901
  5. Step 5: Solve for x
    x = 555,299,901/32,252.88
  6. Step 6: Final answer
    x = 17,217.06

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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.