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Finding the Fourth Proportional to 36,142.51, 54,275.81 and 22,184.50

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Solution

The fourth proportional to 36,142.51, 54,275.81 and 22,184.50 is: 33,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.51 : 54,275.81 = 22,184.50 : x
  2. Step 2: Convert to fraction form
    36,142.51/54,275.81 = 22,184.50/x
  3. Step 3: Cross multiply
    36,142.51x = 54,275.81 × 22,184.50
  4. Step 4: Simplify right side
    36,142.51x = 1,204,081,596.02
  5. Step 5: Solve for x
    x = 1,204,081,596.02/36,142.51
  6. Step 6: Final answer
    x = 33,314.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.