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Finding the Fourth Proportional to 83,624, 115,396.94 and 49,633.96

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Solution

The fourth proportional to 83,624, 115,396.94 and 49,633.96 is: 68,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,624 : 115,396.94 = 49,633.96 : x
  2. Step 2: Convert to fraction form
    83,624/115,396.94 = 49,633.96/x
  3. Step 3: Cross multiply
    83,624x = 115,396.94 × 49,633.96
  4. Step 4: Simplify right side
    83,624x = 5,727,607,104.08
  5. Step 5: Solve for x
    x = 5,727,607,104.08/83,624
  6. Step 6: Final answer
    x = 68,492.38

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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.