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Finding the Fourth Proportional to 39,782.31, 54,901.97 and 21,878.67

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Solution

The fourth proportional to 39,782.31, 54,901.97 and 21,878.67 is: 30,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.31 : 54,901.97 = 21,878.67 : x
  2. Step 2: Convert to fraction form
    39,782.31/54,901.97 = 21,878.67/x
  3. Step 3: Cross multiply
    39,782.31x = 54,901.97 × 21,878.67
  4. Step 4: Simplify right side
    39,782.31x = 1,201,182,262.51
  5. Step 5: Solve for x
    x = 1,201,182,262.51/39,782.31
  6. Step 6: Final answer
    x = 30,193.88

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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.