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Finding the Fourth Proportional to 37,821.71, 52,208.24 and 29,734.27

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Solution

The fourth proportional to 37,821.71, 52,208.24 and 29,734.27 is: 41,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,821.71 : 52,208.24 = 29,734.27 : x
  2. Step 2: Convert to fraction form
    37,821.71/52,208.24 = 29,734.27/x
  3. Step 3: Cross multiply
    37,821.71x = 52,208.24 × 29,734.27
  4. Step 4: Simplify right side
    37,821.71x = 1,552,373,904.38
  5. Step 5: Solve for x
    x = 1,552,373,904.38/37,821.71
  6. Step 6: Final answer
    x = 41,044.52

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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.