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Finding the Fourth Proportional to 31,138.36, 42,957.84 and 21,712.39

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Solution

The fourth proportional to 31,138.36, 42,957.84 and 21,712.39 is: 29,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.36 : 42,957.84 = 21,712.39 : x
  2. Step 2: Convert to fraction form
    31,138.36/42,957.84 = 21,712.39/x
  3. Step 3: Cross multiply
    31,138.36x = 42,957.84 × 21,712.39
  4. Step 4: Simplify right side
    31,138.36x = 932,717,349.66
  5. Step 5: Solve for x
    x = 932,717,349.66/31,138.36
  6. Step 6: Final answer
    x = 29,953.97

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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.