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Finding the Fourth Proportional to 82,310.22, 123,463.58 and 37,936.98

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Solution

The fourth proportional to 82,310.22, 123,463.58 and 37,936.98 is: 56,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,310.22 : 123,463.58 = 37,936.98 : x
  2. Step 2: Convert to fraction form
    82,310.22/123,463.58 = 37,936.98/x
  3. Step 3: Cross multiply
    82,310.22x = 123,463.58 × 37,936.98
  4. Step 4: Simplify right side
    82,310.22x = 4,683,835,175.50
  5. Step 5: Solve for x
    x = 4,683,835,175.50/82,310.22
  6. Step 6: Final answer
    x = 56,904.66

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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.