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Finding the Fourth Proportional to 37,854.82, 52,239.69 and 21,942.34

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Solution

The fourth proportional to 37,854.82, 52,239.69 and 21,942.34 is: 30,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854.82 : 52,239.69 = 21,942.34 : x
  2. Step 2: Convert to fraction form
    37,854.82/52,239.69 = 21,942.34/x
  3. Step 3: Cross multiply
    37,854.82x = 52,239.69 × 21,942.34
  4. Step 4: Simplify right side
    37,854.82x = 1,146,261,039.47
  5. Step 5: Solve for x
    x = 1,146,261,039.47/37,854.82
  6. Step 6: Final answer
    x = 30,280.45

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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.