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Finding the Fourth Proportional to 82,844, 124,268.88 and 27,438.56

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Solution

The fourth proportional to 82,844, 124,268.88 and 27,438.56 is: 41,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,844 : 124,268.88 = 27,438.56 : x
  2. Step 2: Convert to fraction form
    82,844/124,268.88 = 27,438.56/x
  3. Step 3: Cross multiply
    82,844x = 124,268.88 × 27,438.56
  4. Step 4: Simplify right side
    82,844x = 3,409,759,120.01
  5. Step 5: Solve for x
    x = 3,409,759,120.01/82,844
  6. Step 6: Final answer
    x = 41,158.79

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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.