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Finding the Fourth Proportional to 41,892.51, 57,811.82 and 23,029.77

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Solution

The fourth proportional to 41,892.51, 57,811.82 and 23,029.77 is: 31,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,892.51 : 57,811.82 = 23,029.77 : x
  2. Step 2: Convert to fraction form
    41,892.51/57,811.82 = 23,029.77/x
  3. Step 3: Cross multiply
    41,892.51x = 57,811.82 × 23,029.77
  4. Step 4: Simplify right side
    41,892.51x = 1,331,392,802.73
  5. Step 5: Solve for x
    x = 1,331,392,802.73/41,892.51
  6. Step 6: Final answer
    x = 31,781.17

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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.