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Finding the Fourth Proportional to 36,147.69, 49,883.80 and 20,232.13

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Solution

The fourth proportional to 36,147.69, 49,883.80 and 20,232.13 is: 27,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,147.69 : 49,883.80 = 20,232.13 : x
  2. Step 2: Convert to fraction form
    36,147.69/49,883.80 = 20,232.13/x
  3. Step 3: Cross multiply
    36,147.69x = 49,883.80 × 20,232.13
  4. Step 4: Simplify right side
    36,147.69x = 1,009,255,526.49
  5. Step 5: Solve for x
    x = 1,009,255,526.49/36,147.69
  6. Step 6: Final answer
    x = 27,920.33

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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.