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Finding the Fourth Proportional to 106,356.81, 159,597.23 and 39,843.66

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Solution

The fourth proportional to 106,356.81, 159,597.23 and 39,843.66 is: 59,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,356.81 : 159,597.23 = 39,843.66 : x
  2. Step 2: Convert to fraction form
    106,356.81/159,597.23 = 39,843.66/x
  3. Step 3: Cross multiply
    106,356.81x = 159,597.23 × 39,843.66
  4. Step 4: Simplify right side
    106,356.81x = 6,358,937,769.06
  5. Step 5: Solve for x
    x = 6,358,937,769.06/106,356.81
  6. Step 6: Final answer
    x = 59,788.72

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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.