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Finding the Fourth Proportional to 106,425.50, 159,638.31 and 32,553.50

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Solution

The fourth proportional to 106,425.50, 159,638.31 and 32,553.50 is: 48,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,425.50 : 159,638.31 = 32,553.50 : x
  2. Step 2: Convert to fraction form
    106,425.50/159,638.31 = 32,553.50/x
  3. Step 3: Cross multiply
    106,425.50x = 159,638.31 × 32,553.50
  4. Step 4: Simplify right side
    106,425.50x = 5,196,785,724.59
  5. Step 5: Solve for x
    x = 5,196,785,724.59/106,425.50
  6. Step 6: Final answer
    x = 48,830.27

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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.