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Finding the Fourth Proportional to 69,701.32, 96,189.78 and 41,023

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Solution

The fourth proportional to 69,701.32, 96,189.78 and 41,023 is: 56,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,701.32 : 96,189.78 = 41,023 : x
  2. Step 2: Convert to fraction form
    69,701.32/96,189.78 = 41,023/x
  3. Step 3: Cross multiply
    69,701.32x = 96,189.78 × 41,023
  4. Step 4: Simplify right side
    69,701.32x = 3,945,993,344.94
  5. Step 5: Solve for x
    x = 3,945,993,344.94/69,701.32
  6. Step 6: Final answer
    x = 56,612.89

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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.