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Finding the Fourth Proportional to 103,774.22, 155,683.20 and 33,648.06

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Solution

The fourth proportional to 103,774.22, 155,683.20 and 33,648.06 is: 50,479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,774.22 : 155,683.20 = 33,648.06 : x
  2. Step 2: Convert to fraction form
    103,774.22/155,683.20 = 33,648.06/x
  3. Step 3: Cross multiply
    103,774.22x = 155,683.20 × 33,648.06
  4. Step 4: Simplify right side
    103,774.22x = 5,238,437,654.59
  5. Step 5: Solve for x
    x = 5,238,437,654.59/103,774.22
  6. Step 6: Final answer
    x = 50,479.18

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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.