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Finding the Fourth Proportional to 52,223.97, 78,480.54 and 50,957.94

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Solution

The fourth proportional to 52,223.97, 78,480.54 and 50,957.94 is: 76,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,223.97 : 78,480.54 = 50,957.94 : x
  2. Step 2: Convert to fraction form
    52,223.97/78,480.54 = 50,957.94/x
  3. Step 3: Cross multiply
    52,223.97x = 78,480.54 × 50,957.94
  4. Step 4: Simplify right side
    52,223.97x = 3,999,206,648.49
  5. Step 5: Solve for x
    x = 3,999,206,648.49/52,223.97
  6. Step 6: Final answer
    x = 76,577.99

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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.