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Finding the Fourth Proportional to 36,178.84, 49,913.22 and 21,274.84

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Solution

The fourth proportional to 36,178.84, 49,913.22 and 21,274.84 is: 29,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,178.84 : 49,913.22 = 21,274.84 : x
  2. Step 2: Convert to fraction form
    36,178.84/49,913.22 = 21,274.84/x
  3. Step 3: Cross multiply
    36,178.84x = 49,913.22 × 21,274.84
  4. Step 4: Simplify right side
    36,178.84x = 1,061,895,769.38
  5. Step 5: Solve for x
    x = 1,061,895,769.38/36,178.84
  6. Step 6: Final answer
    x = 29,351.29

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1.5x scale

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.