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Finding the Fourth Proportional to 27,412, 41,124.50 and 8,944

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Solution

The fourth proportional to 27,412, 41,124.50 and 8,944 is: 13,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412 : 41,124.50 = 8,944 : x
  2. Step 2: Convert to fraction form
    27,412/41,124.50 = 8,944/x
  3. Step 3: Cross multiply
    27,412x = 41,124.50 × 8,944
  4. Step 4: Simplify right side
    27,412x = 367,817,528
  5. Step 5: Solve for x
    x = 367,817,528/27,412
  6. Step 6: Final answer
    x = 13,418.12

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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.