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Finding the Fourth Proportional to 27,873.28, 41,962.04 and 25,423.84

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Solution

The fourth proportional to 27,873.28, 41,962.04 and 25,423.84 is: 38,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.28 : 41,962.04 = 25,423.84 : x
  2. Step 2: Convert to fraction form
    27,873.28/41,962.04 = 25,423.84/x
  3. Step 3: Cross multiply
    27,873.28x = 41,962.04 × 25,423.84
  4. Step 4: Simplify right side
    27,873.28x = 1,066,836,191.03
  5. Step 5: Solve for x
    x = 1,066,836,191.03/27,873.28
  6. Step 6: Final answer
    x = 38,274.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.