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Finding the Fourth Proportional to 106,363.14, 159,572.39 and 39,808.50

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Solution

The fourth proportional to 106,363.14, 159,572.39 and 39,808.50 is: 59,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,363.14 : 159,572.39 = 39,808.50 : x
  2. Step 2: Convert to fraction form
    106,363.14/159,572.39 = 39,808.50/x
  3. Step 3: Cross multiply
    106,363.14x = 159,572.39 × 39,808.50
  4. Step 4: Simplify right side
    106,363.14x = 6,352,337,487.32
  5. Step 5: Solve for x
    x = 6,352,337,487.32/106,363.14
  6. Step 6: Final answer
    x = 59,723.11

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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.