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Finding the Fourth Proportional to 110,724.80, 166,054.80 and 39,639.20

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Solution

The fourth proportional to 110,724.80, 166,054.80 and 39,639.20 is: 59,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,724.80 : 166,054.80 = 39,639.20 : x
  2. Step 2: Convert to fraction form
    110,724.80/166,054.80 = 39,639.20/x
  3. Step 3: Cross multiply
    110,724.80x = 166,054.80 × 39,639.20
  4. Step 4: Simplify right side
    110,724.80x = 6,582,279,428.16
  5. Step 5: Solve for x
    x = 6,582,279,428.16/110,724.80
  6. Step 6: Final answer
    x = 59,447.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.