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Finding the Fourth Proportional to 82,611.84, 123,935.04 and 41,036.16

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Solution

The fourth proportional to 82,611.84, 123,935.04 and 41,036.16 is: 61,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,611.84 : 123,935.04 = 41,036.16 : x
  2. Step 2: Convert to fraction form
    82,611.84/123,935.04 = 41,036.16/x
  3. Step 3: Cross multiply
    82,611.84x = 123,935.04 × 41,036.16
  4. Step 4: Simplify right side
    82,611.84x = 5,085,818,131.05
  5. Step 5: Solve for x
    x = 5,085,818,131.05/82,611.84
  6. Step 6: Final answer
    x = 61,562.82

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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.