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Finding the Fourth Proportional to 65,222, 90,006.36 and 35,414

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Solution

The fourth proportional to 65,222, 90,006.36 and 35,414 is: 48,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222 : 90,006.36 = 35,414 : x
  2. Step 2: Convert to fraction form
    65,222/90,006.36 = 35,414/x
  3. Step 3: Cross multiply
    65,222x = 90,006.36 × 35,414
  4. Step 4: Simplify right side
    65,222x = 3,187,485,233.04
  5. Step 5: Solve for x
    x = 3,187,485,233.04/65,222
  6. Step 6: Final answer
    x = 48,871.32

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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.