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Finding the Fourth Proportional to 42,097.67, 63,101.31 and 20,996.02

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Solution

The fourth proportional to 42,097.67, 63,101.31 and 20,996.02 is: 31,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,097.67 : 63,101.31 = 20,996.02 : x
  2. Step 2: Convert to fraction form
    42,097.67/63,101.31 = 20,996.02/x
  3. Step 3: Cross multiply
    42,097.67x = 63,101.31 × 20,996.02
  4. Step 4: Simplify right side
    42,097.67x = 1,324,876,662.50
  5. Step 5: Solve for x
    x = 1,324,876,662.50/42,097.67
  6. Step 6: Final answer
    x = 31,471.50

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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.