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Finding the Fourth Proportional to 37,782.34, 52,139.49 and 21,015.34

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Solution

The fourth proportional to 37,782.34, 52,139.49 and 21,015.34 is: 29,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.34 : 52,139.49 = 21,015.34 : x
  2. Step 2: Convert to fraction form
    37,782.34/52,139.49 = 21,015.34/x
  3. Step 3: Cross multiply
    37,782.34x = 52,139.49 × 21,015.34
  4. Step 4: Simplify right side
    37,782.34x = 1,095,729,109.78
  5. Step 5: Solve for x
    x = 1,095,729,109.78/37,782.34
  6. Step 6: Final answer
    x = 29,001.09

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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.