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Finding the Fourth Proportional to 65,414.25, 98,156.81 and 50,652

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Solution

The fourth proportional to 65,414.25, 98,156.81 and 50,652 is: 76,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414.25 : 98,156.81 = 50,652 : x
  2. Step 2: Convert to fraction form
    65,414.25/98,156.81 = 50,652/x
  3. Step 3: Cross multiply
    65,414.25x = 98,156.81 × 50,652
  4. Step 4: Simplify right side
    65,414.25x = 4,971,838,866.75
  5. Step 5: Solve for x
    x = 4,971,838,866.75/65,414.25
  6. Step 6: Final answer
    x = 76,005.44

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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.