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Finding the Fourth Proportional to 20,032, 30,041.61 and 6,881.20

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Solution

The fourth proportional to 20,032, 30,041.61 and 6,881.20 is: 10,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032 : 30,041.61 = 6,881.20 : x
  2. Step 2: Convert to fraction form
    20,032/30,041.61 = 6,881.20/x
  3. Step 3: Cross multiply
    20,032x = 30,041.61 × 6,881.20
  4. Step 4: Simplify right side
    20,032x = 206,722,326.73
  5. Step 5: Solve for x
    x = 206,722,326.73/20,032
  6. Step 6: Final answer
    x = 10,319.60

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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.