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Finding the Fourth Proportional to 36,098.54, 49,815.51 and 20,182.82

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Solution

The fourth proportional to 36,098.54, 49,815.51 and 20,182.82 is: 27,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098.54 : 49,815.51 = 20,182.82 : x
  2. Step 2: Convert to fraction form
    36,098.54/49,815.51 = 20,182.82/x
  3. Step 3: Cross multiply
    36,098.54x = 49,815.51 × 20,182.82
  4. Step 4: Simplify right side
    36,098.54x = 1,005,417,471.54
  5. Step 5: Solve for x
    x = 1,005,417,471.54/36,098.54
  6. Step 6: Final answer
    x = 27,852.03

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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.