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Finding the Fourth Proportional to 69,709, 96,198.87 and 37,877.89

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Solution

The fourth proportional to 69,709, 96,198.87 and 37,877.89 is: 52,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,709 : 96,198.87 = 37,877.89 : x
  2. Step 2: Convert to fraction form
    69,709/96,198.87 = 37,877.89/x
  3. Step 3: Cross multiply
    69,709x = 96,198.87 × 37,877.89
  4. Step 4: Simplify right side
    69,709x = 3,643,810,215.98
  5. Step 5: Solve for x
    x = 3,643,810,215.98/69,709
  6. Step 6: Final answer
    x = 52,271.73

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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.