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Finding the Fourth Proportional to 54,775.94, 82,199.81 and 19,236.33

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Solution

The fourth proportional to 54,775.94, 82,199.81 and 19,236.33 is: 28,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,775.94 : 82,199.81 = 19,236.33 : x
  2. Step 2: Convert to fraction form
    54,775.94/82,199.81 = 19,236.33/x
  3. Step 3: Cross multiply
    54,775.94x = 82,199.81 × 19,236.33
  4. Step 4: Simplify right side
    54,775.94x = 1,581,222,719.19
  5. Step 5: Solve for x
    x = 1,581,222,719.19/54,775.94
  6. Step 6: Final answer
    x = 28,867.10

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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.