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Finding the Fourth Proportional to 39,738.65, 54,839.16 and 22,742.01

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Solution

The fourth proportional to 39,738.65, 54,839.16 and 22,742.01 is: 31,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,738.65 : 54,839.16 = 22,742.01 : x
  2. Step 2: Convert to fraction form
    39,738.65/54,839.16 = 22,742.01/x
  3. Step 3: Cross multiply
    39,738.65x = 54,839.16 × 22,742.01
  4. Step 4: Simplify right side
    39,738.65x = 1,247,152,725.11
  5. Step 5: Solve for x
    x = 1,247,152,725.11/39,738.65
  6. Step 6: Final answer
    x = 31,383.88

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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.