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Finding the Fourth Proportional to 59,396.49, 81,967.16 and 35,523.17

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Solution

The fourth proportional to 59,396.49, 81,967.16 and 35,523.17 is: 49,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,396.49 : 81,967.16 = 35,523.17 : x
  2. Step 2: Convert to fraction form
    59,396.49/81,967.16 = 35,523.17/x
  3. Step 3: Cross multiply
    59,396.49x = 81,967.16 × 35,523.17
  4. Step 4: Simplify right side
    59,396.49x = 2,911,732,771.65
  5. Step 5: Solve for x
    x = 2,911,732,771.65/59,396.49
  6. Step 6: Final answer
    x = 49,021.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.