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Finding the Fourth Proportional to 55,162.68, 82,744.02 and 15,719.73

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Solution

The fourth proportional to 55,162.68, 82,744.02 and 15,719.73 is: 23,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,162.68 : 82,744.02 = 15,719.73 : x
  2. Step 2: Convert to fraction form
    55,162.68/82,744.02 = 15,719.73/x
  3. Step 3: Cross multiply
    55,162.68x = 82,744.02 × 15,719.73
  4. Step 4: Simplify right side
    55,162.68x = 1,300,713,653.51
  5. Step 5: Solve for x
    x = 1,300,713,653.51/55,162.68
  6. Step 6: Final answer
    x = 23,579.60

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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.