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Finding the Fourth Proportional to 82,137.90, 113,350.15 and 46,327.80

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Solution

The fourth proportional to 82,137.90, 113,350.15 and 46,327.80 is: 63,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,137.90 : 113,350.15 = 46,327.80 : x
  2. Step 2: Convert to fraction form
    82,137.90/113,350.15 = 46,327.80/x
  3. Step 3: Cross multiply
    82,137.90x = 113,350.15 × 46,327.80
  4. Step 4: Simplify right side
    82,137.90x = 5,251,263,079.17
  5. Step 5: Solve for x
    x = 5,251,263,079.17/82,137.90
  6. Step 6: Final answer
    x = 63,932.28

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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.