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Finding the Fourth Proportional to 37,789, 52,148.82 and 21,022

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Solution

The fourth proportional to 37,789, 52,148.82 and 21,022 is: 29,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,789 : 52,148.82 = 21,022 : x
  2. Step 2: Convert to fraction form
    37,789/52,148.82 = 21,022/x
  3. Step 3: Cross multiply
    37,789x = 52,148.82 × 21,022
  4. Step 4: Simplify right side
    37,789x = 1,096,272,494.04
  5. Step 5: Solve for x
    x = 1,096,272,494.04/37,789
  6. Step 6: Final answer
    x = 29,010.36

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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.