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Finding the Fourth Proportional to 52,184, 72,013.92 and 29,828.48

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Solution

The fourth proportional to 52,184, 72,013.92 and 29,828.48 is: 41,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,184 : 72,013.92 = 29,828.48 : x
  2. Step 2: Convert to fraction form
    52,184/72,013.92 = 29,828.48/x
  3. Step 3: Cross multiply
    52,184x = 72,013.92 × 29,828.48
  4. Step 4: Simplify right side
    52,184x = 2,148,065,772.44
  5. Step 5: Solve for x
    x = 2,148,065,772.44/52,184
  6. Step 6: Final answer
    x = 41,163.30

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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.