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Finding the Fourth Proportional to 30,227.60, 45,323.67 and 9,161.30

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Solution

The fourth proportional to 30,227.60, 45,323.67 and 9,161.30 is: 13,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.60 : 45,323.67 = 9,161.30 : x
  2. Step 2: Convert to fraction form
    30,227.60/45,323.67 = 9,161.30/x
  3. Step 3: Cross multiply
    30,227.60x = 45,323.67 × 9,161.30
  4. Step 4: Simplify right side
    30,227.60x = 415,223,737.97
  5. Step 5: Solve for x
    x = 415,223,737.97/30,227.60
  6. Step 6: Final answer
    x = 13,736.58

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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.