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Finding the Fourth Proportional to 32,412, 44,727.44 and 18,264

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Solution

The fourth proportional to 32,412, 44,727.44 and 18,264 is: 25,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412 : 44,727.44 = 18,264 : x
  2. Step 2: Convert to fraction form
    32,412/44,727.44 = 18,264/x
  3. Step 3: Cross multiply
    32,412x = 44,727.44 × 18,264
  4. Step 4: Simplify right side
    32,412x = 816,901,964.16
  5. Step 5: Solve for x
    x = 816,901,964.16/32,412
  6. Step 6: Final answer
    x = 25,203.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.