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Finding the Fourth Proportional to 36,815.19, 50,807.10 and 27,724.28

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Solution

The fourth proportional to 36,815.19, 50,807.10 and 27,724.28 is: 38,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,815.19 : 50,807.10 = 27,724.28 : x
  2. Step 2: Convert to fraction form
    36,815.19/50,807.10 = 27,724.28/x
  3. Step 3: Cross multiply
    36,815.19x = 50,807.10 × 27,724.28
  4. Step 4: Simplify right side
    36,815.19x = 1,408,590,266.39
  5. Step 5: Solve for x
    x = 1,408,590,266.39/36,815.19
  6. Step 6: Final answer
    x = 38,261.12

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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.