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Finding the Fourth Proportional to 109,596.66, 164,356.11 and 39,457.14

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Solution

The fourth proportional to 109,596.66, 164,356.11 and 39,457.14 is: 59,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,596.66 : 164,356.11 = 39,457.14 : x
  2. Step 2: Convert to fraction form
    109,596.66/164,356.11 = 39,457.14/x
  3. Step 3: Cross multiply
    109,596.66x = 164,356.11 × 39,457.14
  4. Step 4: Simplify right side
    109,596.66x = 6,485,022,042.13
  5. Step 5: Solve for x
    x = 6,485,022,042.13/109,596.66
  6. Step 6: Final answer
    x = 59,171.71

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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.