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Finding the Fourth Proportional to 110,952.09, 166,411.73 and 40,815

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Solution

The fourth proportional to 110,952.09, 166,411.73 and 40,815 is: 61,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,952.09 : 166,411.73 = 40,815 : x
  2. Step 2: Convert to fraction form
    110,952.09/166,411.73 = 40,815/x
  3. Step 3: Cross multiply
    110,952.09x = 166,411.73 × 40,815
  4. Step 4: Simplify right side
    110,952.09x = 6,792,094,861.99
  5. Step 5: Solve for x
    x = 6,792,094,861.99/110,952.09
  6. Step 6: Final answer
    x = 61,216.47

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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.