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Finding the Fourth Proportional to 57,162.36, 85,755.06 and 20,252.28

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Solution

The fourth proportional to 57,162.36, 85,755.06 and 20,252.28 is: 30,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,162.36 : 85,755.06 = 20,252.28 : x
  2. Step 2: Convert to fraction form
    57,162.36/85,755.06 = 20,252.28/x
  3. Step 3: Cross multiply
    57,162.36x = 85,755.06 × 20,252.28
  4. Step 4: Simplify right side
    57,162.36x = 1,736,735,486.54
  5. Step 5: Solve for x
    x = 1,736,735,486.54/57,162.36
  6. Step 6: Final answer
    x = 30,382.50

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Why These Related Problems?

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