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Finding the Fourth Proportional to 69,413, 95,782.62 and 39,196.46

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Solution

The fourth proportional to 69,413, 95,782.62 and 39,196.46 is: 54,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,413 : 95,782.62 = 39,196.46 : x
  2. Step 2: Convert to fraction form
    69,413/95,782.62 = 39,196.46/x
  3. Step 3: Cross multiply
    69,413x = 95,782.62 × 39,196.46
  4. Step 4: Simplify right side
    69,413x = 3,754,339,633.53
  5. Step 5: Solve for x
    x = 3,754,339,633.53/69,413
  6. Step 6: Final answer
    x = 54,086.98

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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.