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Finding the Fourth Proportional to 82,344.49, 123,422.65 and 37,400.12

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Solution

The fourth proportional to 82,344.49, 123,422.65 and 37,400.12 is: 56,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,344.49 : 123,422.65 = 37,400.12 : x
  2. Step 2: Convert to fraction form
    82,344.49/123,422.65 = 37,400.12/x
  3. Step 3: Cross multiply
    82,344.49x = 123,422.65 × 37,400.12
  4. Step 4: Simplify right side
    82,344.49x = 4,616,022,135.77
  5. Step 5: Solve for x
    x = 4,616,022,135.77/82,344.49
  6. Step 6: Final answer
    x = 56,057.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.