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Finding the Fourth Proportional to 69,464.24, 95,860.52 and 37,634

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Solution

The fourth proportional to 69,464.24, 95,860.52 and 37,634 is: 51,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,464.24 : 95,860.52 = 37,634 : x
  2. Step 2: Convert to fraction form
    69,464.24/95,860.52 = 37,634/x
  3. Step 3: Cross multiply
    69,464.24x = 95,860.52 × 37,634
  4. Step 4: Simplify right side
    69,464.24x = 3,607,614,809.68
  5. Step 5: Solve for x
    x = 3,607,614,809.68/69,464.24
  6. Step 6: Final answer
    x = 51,934.85

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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.