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Finding the Fourth Proportional to 73,892, 110,838 and 29,538.56

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Solution

The fourth proportional to 73,892, 110,838 and 29,538.56 is: 44,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,892 : 110,838 = 29,538.56 : x
  2. Step 2: Convert to fraction form
    73,892/110,838 = 29,538.56/x
  3. Step 3: Cross multiply
    73,892x = 110,838 × 29,538.56
  4. Step 4: Simplify right side
    73,892x = 3,273,994,913.28
  5. Step 5: Solve for x
    x = 3,273,994,913.28/73,892
  6. Step 6: Final answer
    x = 44,307.84

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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.