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Finding the Fourth Proportional to 27,871.20, 41,806.80 and 24,809.40

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Solution

The fourth proportional to 27,871.20, 41,806.80 and 24,809.40 is: 37,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.20 : 41,806.80 = 24,809.40 : x
  2. Step 2: Convert to fraction form
    27,871.20/41,806.80 = 24,809.40/x
  3. Step 3: Cross multiply
    27,871.20x = 41,806.80 × 24,809.40
  4. Step 4: Simplify right side
    27,871.20x = 1,037,201,623.92
  5. Step 5: Solve for x
    x = 1,037,201,623.92/27,871.20
  6. Step 6: Final answer
    x = 37,214.10

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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.