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Finding the Fourth Proportional to 37,873.40, 52,269.20 and 22,771

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Solution

The fourth proportional to 37,873.40, 52,269.20 and 22,771 is: 31,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,873.40 : 52,269.20 = 22,771 : x
  2. Step 2: Convert to fraction form
    37,873.40/52,269.20 = 22,771/x
  3. Step 3: Cross multiply
    37,873.40x = 52,269.20 × 22,771
  4. Step 4: Simplify right side
    37,873.40x = 1,190,221,953.20
  5. Step 5: Solve for x
    x = 1,190,221,953.20/37,873.40
  6. Step 6: Final answer
    x = 31,426.33

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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.