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Finding the Fourth Proportional to 82,136.88, 113,365.31 and 46,327.59

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Solution

The fourth proportional to 82,136.88, 113,365.31 and 46,327.59 is: 63,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,136.88 : 113,365.31 = 46,327.59 : x
  2. Step 2: Convert to fraction form
    82,136.88/113,365.31 = 46,327.59/x
  3. Step 3: Cross multiply
    82,136.88x = 113,365.31 × 46,327.59
  4. Step 4: Simplify right side
    82,136.88x = 5,251,941,370.26
  5. Step 5: Solve for x
    x = 5,251,941,370.26/82,136.88
  6. Step 6: Final answer
    x = 63,941.33

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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.