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Finding the Fourth Proportional to 106,236.75, 159,382.50 and 39,677.34

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Solution

The fourth proportional to 106,236.75, 159,382.50 and 39,677.34 is: 59,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,236.75 : 159,382.50 = 39,677.34 : x
  2. Step 2: Convert to fraction form
    106,236.75/159,382.50 = 39,677.34/x
  3. Step 3: Cross multiply
    106,236.75x = 159,382.50 × 39,677.34
  4. Step 4: Simplify right side
    106,236.75x = 6,323,873,642.55
  5. Step 5: Solve for x
    x = 6,323,873,642.55/106,236.75
  6. Step 6: Final answer
    x = 59,526.23

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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.