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Finding the Fourth Proportional to 48,137.94, 72,163.17 and 21,828.33

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Solution

The fourth proportional to 48,137.94, 72,163.17 and 21,828.33 is: 32,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,137.94 : 72,163.17 = 21,828.33 : x
  2. Step 2: Convert to fraction form
    48,137.94/72,163.17 = 21,828.33/x
  3. Step 3: Cross multiply
    48,137.94x = 72,163.17 × 21,828.33
  4. Step 4: Simplify right side
    48,137.94x = 1,575,201,488.61
  5. Step 5: Solve for x
    x = 1,575,201,488.61/48,137.94
  6. Step 6: Final answer
    x = 32,722.66

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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.