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Finding the Fourth Proportional to 54,963.60, 82,451.97 and 19,417.56

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Solution

The fourth proportional to 54,963.60, 82,451.97 and 19,417.56 is: 29,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,963.60 : 82,451.97 = 19,417.56 : x
  2. Step 2: Convert to fraction form
    54,963.60/82,451.97 = 19,417.56/x
  3. Step 3: Cross multiply
    54,963.60x = 82,451.97 × 19,417.56
  4. Step 4: Simplify right side
    54,963.60x = 1,601,016,074.59
  5. Step 5: Solve for x
    x = 1,601,016,074.59/54,963.60
  6. Step 6: Final answer
    x = 29,128.66

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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.