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Finding the Fourth Proportional to 27,859.68, 41,806.80 and 24,991.20

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Solution

The fourth proportional to 27,859.68, 41,806.80 and 24,991.20 is: 37,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.68 : 41,806.80 = 24,991.20 : x
  2. Step 2: Convert to fraction form
    27,859.68/41,806.80 = 24,991.20/x
  3. Step 3: Cross multiply
    27,859.68x = 41,806.80 × 24,991.20
  4. Step 4: Simplify right side
    27,859.68x = 1,044,802,100.16
  5. Step 5: Solve for x
    x = 1,044,802,100.16/27,859.68
  6. Step 6: Final answer
    x = 37,502.30

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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.