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Finding the Fourth Proportional to 31,055.28, 42,806.44 and 20,980.48

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Solution

The fourth proportional to 31,055.28, 42,806.44 and 20,980.48 is: 28,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.28 : 42,806.44 = 20,980.48 : x
  2. Step 2: Convert to fraction form
    31,055.28/42,806.44 = 20,980.48/x
  3. Step 3: Cross multiply
    31,055.28x = 42,806.44 × 20,980.48
  4. Step 4: Simplify right side
    31,055.28x = 898,099,658.29
  5. Step 5: Solve for x
    x = 898,099,658.29/31,055.28
  6. Step 6: Final answer
    x = 28,919.39

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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.