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Finding the Fourth Proportional to 26,872, 40,110.77 and 24,892.78

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Solution

The fourth proportional to 26,872, 40,110.77 and 24,892.78 is: 37,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,872 : 40,110.77 = 24,892.78 : x
  2. Step 2: Convert to fraction form
    26,872/40,110.77 = 24,892.78/x
  3. Step 3: Cross multiply
    26,872x = 40,110.77 × 24,892.78
  4. Step 4: Simplify right side
    26,872x = 998,468,573.24
  5. Step 5: Solve for x
    x = 998,468,573.24/26,872
  6. Step 6: Final answer
    x = 37,156.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.