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Finding the Fourth Proportional to 36,114.32, 49,838.28 and 20,199.44

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Solution

The fourth proportional to 36,114.32, 49,838.28 and 20,199.44 is: 27,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,114.32 : 49,838.28 = 20,199.44 : x
  2. Step 2: Convert to fraction form
    36,114.32/49,838.28 = 20,199.44/x
  3. Step 3: Cross multiply
    36,114.32x = 49,838.28 × 20,199.44
  4. Step 4: Simplify right side
    36,114.32x = 1,006,705,346.56
  5. Step 5: Solve for x
    x = 1,006,705,346.56/36,114.32
  6. Step 6: Final answer
    x = 27,875.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.