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Finding the Fourth Proportional to 50,894.83, 70,220.41 and 29,670

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Solution

The fourth proportional to 50,894.83, 70,220.41 and 29,670 is: 40,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,894.83 : 70,220.41 = 29,670 : x
  2. Step 2: Convert to fraction form
    50,894.83/70,220.41 = 29,670/x
  3. Step 3: Cross multiply
    50,894.83x = 70,220.41 × 29,670
  4. Step 4: Simplify right side
    50,894.83x = 2,083,439,564.70
  5. Step 5: Solve for x
    x = 2,083,439,564.70/50,894.83
  6. Step 6: Final answer
    x = 40,936.17

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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.