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Finding the Fourth Proportional to 49,028.40, 67,659.84 and 27,807.48

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Solution

The fourth proportional to 49,028.40, 67,659.84 and 27,807.48 is: 38,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,028.40 : 67,659.84 = 27,807.48 : x
  2. Step 2: Convert to fraction form
    49,028.40/67,659.84 = 27,807.48/x
  3. Step 3: Cross multiply
    49,028.40x = 67,659.84 × 27,807.48
  4. Step 4: Simplify right side
    49,028.40x = 1,881,449,647.60
  5. Step 5: Solve for x
    x = 1,881,449,647.60/49,028.40
  6. Step 6: Final answer
    x = 38,374.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.