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Finding the Fourth Proportional to 103,414.10, 155,148.15 and 33,295.10

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Solution

The fourth proportional to 103,414.10, 155,148.15 and 33,295.10 is: 49,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414.10 : 155,148.15 = 33,295.10 : x
  2. Step 2: Convert to fraction form
    103,414.10/155,148.15 = 33,295.10/x
  3. Step 3: Cross multiply
    103,414.10x = 155,148.15 × 33,295.10
  4. Step 4: Simplify right side
    103,414.10x = 5,165,673,169.07
  5. Step 5: Solve for x
    x = 5,165,673,169.07/103,414.10
  6. Step 6: Final answer
    x = 49,951.34

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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.