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Finding the Fourth Proportional to 51,797.40, 77,696 and 22,196.04

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Solution

The fourth proportional to 51,797.40, 77,696 and 22,196.04 is: 33,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,797.40 : 77,696 = 22,196.04 : x
  2. Step 2: Convert to fraction form
    51,797.40/77,696 = 22,196.04/x
  3. Step 3: Cross multiply
    51,797.40x = 77,696 × 22,196.04
  4. Step 4: Simplify right side
    51,797.40x = 1,724,543,523.84
  5. Step 5: Solve for x
    x = 1,724,543,523.84/51,797.40
  6. Step 6: Final answer
    x = 33,294.02

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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.