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Finding the Fourth Proportional to 31,450.78, 43,411.24 and 18,712.88

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Solution

The fourth proportional to 31,450.78, 43,411.24 and 18,712.88 is: 25,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450.78 : 43,411.24 = 18,712.88 : x
  2. Step 2: Convert to fraction form
    31,450.78/43,411.24 = 18,712.88/x
  3. Step 3: Cross multiply
    31,450.78x = 43,411.24 × 18,712.88
  4. Step 4: Simplify right side
    31,450.78x = 812,349,324.77
  5. Step 5: Solve for x
    x = 812,349,324.77/31,450.78
  6. Step 6: Final answer
    x = 25,829.23

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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.