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Finding the Fourth Proportional to 32,244, 48,366 and 11,467.50

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Solution

The fourth proportional to 32,244, 48,366 and 11,467.50 is: 17,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,244 : 48,366 = 11,467.50 : x
  2. Step 2: Convert to fraction form
    32,244/48,366 = 11,467.50/x
  3. Step 3: Cross multiply
    32,244x = 48,366 × 11,467.50
  4. Step 4: Simplify right side
    32,244x = 554,637,105
  5. Step 5: Solve for x
    x = 554,637,105/32,244
  6. Step 6: Final answer
    x = 17,201.25

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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.