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Finding the Fourth Proportional to 53,471.40, 73,809 and 30,819.42

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Solution

The fourth proportional to 53,471.40, 73,809 and 30,819.42 is: 42,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,471.40 : 73,809 = 30,819.42 : x
  2. Step 2: Convert to fraction form
    53,471.40/73,809 = 30,819.42/x
  3. Step 3: Cross multiply
    53,471.40x = 73,809 × 30,819.42
  4. Step 4: Simplify right side
    53,471.40x = 2,274,750,570.78
  5. Step 5: Solve for x
    x = 2,274,750,570.78/53,471.40
  6. Step 6: Final answer
    x = 42,541.44

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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.