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Finding the Fourth Proportional to 31,029.63, 42,808.03 and 20,270.80

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Solution

The fourth proportional to 31,029.63, 42,808.03 and 20,270.80 is: 27,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029.63 : 42,808.03 = 20,270.80 : x
  2. Step 2: Convert to fraction form
    31,029.63/42,808.03 = 20,270.80/x
  3. Step 3: Cross multiply
    31,029.63x = 42,808.03 × 20,270.80
  4. Step 4: Simplify right side
    31,029.63x = 867,752,913.17
  5. Step 5: Solve for x
    x = 867,752,913.17/31,029.63
  6. Step 6: Final answer
    x = 27,965.30

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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.