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Finding the Fourth Proportional to 36,138.32, 49,870.89 and 20,225.84

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Solution

The fourth proportional to 36,138.32, 49,870.89 and 20,225.84 is: 27,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.32 : 49,870.89 = 20,225.84 : x
  2. Step 2: Convert to fraction form
    36,138.32/49,870.89 = 20,225.84/x
  3. Step 3: Cross multiply
    36,138.32x = 49,870.89 × 20,225.84
  4. Step 4: Simplify right side
    36,138.32x = 1,008,680,641.80
  5. Step 5: Solve for x
    x = 1,008,680,641.80/36,138.32
  6. Step 6: Final answer
    x = 27,911.66

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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.