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Finding the Fourth Proportional to 41,744.51, 57,616.12 and 38,382.01

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Solution

The fourth proportional to 41,744.51, 57,616.12 and 38,382.01 is: 52,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,744.51 : 57,616.12 = 38,382.01 : x
  2. Step 2: Convert to fraction form
    41,744.51/57,616.12 = 38,382.01/x
  3. Step 3: Cross multiply
    41,744.51x = 57,616.12 × 38,382.01
  4. Step 4: Simplify right side
    41,744.51x = 2,211,422,301.88
  5. Step 5: Solve for x
    x = 2,211,422,301.88/41,744.51
  6. Step 6: Final answer
    x = 52,975.17

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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.