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Finding the Fourth Proportional to 82,310.50, 113,593.35 and 46,499.59

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Solution

The fourth proportional to 82,310.50, 113,593.35 and 46,499.59 is: 64,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,310.50 : 113,593.35 = 46,499.59 : x
  2. Step 2: Convert to fraction form
    82,310.50/113,593.35 = 46,499.59/x
  3. Step 3: Cross multiply
    82,310.50x = 113,593.35 × 46,499.59
  4. Step 4: Simplify right side
    82,310.50x = 5,282,044,201.73
  5. Step 5: Solve for x
    x = 5,282,044,201.73/82,310.50
  6. Step 6: Final answer
    x = 64,172.18

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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.