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Finding the Fourth Proportional to 82,294.38, 123,463.44 and 26,136

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Solution

The fourth proportional to 82,294.38, 123,463.44 and 26,136 is: 39,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,294.38 : 123,463.44 = 26,136 : x
  2. Step 2: Convert to fraction form
    82,294.38/123,463.44 = 26,136/x
  3. Step 3: Cross multiply
    82,294.38x = 123,463.44 × 26,136
  4. Step 4: Simplify right side
    82,294.38x = 3,226,840,467.84
  5. Step 5: Solve for x
    x = 3,226,840,467.84/82,294.38
  6. Step 6: Final answer
    x = 39,210.95

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Why These Related Problems?

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