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Finding the Fourth Proportional to 103,426.08, 155,040.16 and 33,256

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Solution

The fourth proportional to 103,426.08, 155,040.16 and 33,256 is: 49,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,426.08 : 155,040.16 = 33,256 : x
  2. Step 2: Convert to fraction form
    103,426.08/155,040.16 = 33,256/x
  3. Step 3: Cross multiply
    103,426.08x = 155,040.16 × 33,256
  4. Step 4: Simplify right side
    103,426.08x = 5,156,015,560.96
  5. Step 5: Solve for x
    x = 5,156,015,560.96/103,426.08
  6. Step 6: Final answer
    x = 49,852.18

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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.