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Finding the Fourth Proportional to 55,886.40, 83,833.56 and 20,826

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Solution

The fourth proportional to 55,886.40, 83,833.56 and 20,826 is: 31,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,886.40 : 83,833.56 = 20,826 : x
  2. Step 2: Convert to fraction form
    55,886.40/83,833.56 = 20,826/x
  3. Step 3: Cross multiply
    55,886.40x = 83,833.56 × 20,826
  4. Step 4: Simplify right side
    55,886.40x = 1,745,917,720.56
  5. Step 5: Solve for x
    x = 1,745,917,720.56/55,886.40
  6. Step 6: Final answer
    x = 31,240.48

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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.