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Finding the Fourth Proportional to 110,521.90, 165,799.31 and 39,439

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Solution

The fourth proportional to 110,521.90, 165,799.31 and 39,439 is: 59,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,521.90 : 165,799.31 = 39,439 : x
  2. Step 2: Convert to fraction form
    110,521.90/165,799.31 = 39,439/x
  3. Step 3: Cross multiply
    110,521.90x = 165,799.31 × 39,439
  4. Step 4: Simplify right side
    110,521.90x = 6,538,958,987.09
  5. Step 5: Solve for x
    x = 6,538,958,987.09/110,521.90
  6. Step 6: Final answer
    x = 59,164.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.