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Finding the Fourth Proportional to 82,270.74, 123,333.87 and 39,554.82

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Solution

The fourth proportional to 82,270.74, 123,333.87 and 39,554.82 is: 59,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,270.74 : 123,333.87 = 39,554.82 : x
  2. Step 2: Convert to fraction form
    82,270.74/123,333.87 = 39,554.82/x
  3. Step 3: Cross multiply
    82,270.74x = 123,333.87 × 39,554.82
  4. Step 4: Simplify right side
    82,270.74x = 4,878,449,027.75
  5. Step 5: Solve for x
    x = 4,878,449,027.75/82,270.74
  6. Step 6: Final answer
    x = 59,297.50

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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.