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Finding the Fourth Proportional to 31,178.89, 43,026.84 and 17,031.73

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Solution

The fourth proportional to 31,178.89, 43,026.84 and 17,031.73 is: 23,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.89 : 43,026.84 = 17,031.73 : x
  2. Step 2: Convert to fraction form
    31,178.89/43,026.84 = 17,031.73/x
  3. Step 3: Cross multiply
    31,178.89x = 43,026.84 × 17,031.73
  4. Step 4: Simplify right side
    31,178.89x = 732,821,521.63
  5. Step 5: Solve for x
    x = 732,821,521.63/31,178.89
  6. Step 6: Final answer
    x = 23,503.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.