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Finding the Fourth Proportional to 70,167.60, 96,815.52 and 41,868

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Solution

The fourth proportional to 70,167.60, 96,815.52 and 41,868 is: 57,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,167.60 : 96,815.52 = 41,868 : x
  2. Step 2: Convert to fraction form
    70,167.60/96,815.52 = 41,868/x
  3. Step 3: Cross multiply
    70,167.60x = 96,815.52 × 41,868
  4. Step 4: Simplify right side
    70,167.60x = 4,053,472,191.36
  5. Step 5: Solve for x
    x = 4,053,472,191.36/70,167.60
  6. Step 6: Final answer
    x = 57,768.43

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