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Finding the Fourth Proportional to 36,185.81, 49,922.04 and 22,565.84

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Solution

The fourth proportional to 36,185.81, 49,922.04 and 22,565.84 is: 31,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,185.81 : 49,922.04 = 22,565.84 : x
  2. Step 2: Convert to fraction form
    36,185.81/49,922.04 = 22,565.84/x
  3. Step 3: Cross multiply
    36,185.81x = 49,922.04 × 22,565.84
  4. Step 4: Simplify right side
    36,185.81x = 1,126,532,602.13
  5. Step 5: Solve for x
    x = 1,126,532,602.13/36,185.81
  6. Step 6: Final answer
    x = 31,131.89

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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.