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Finding the Fourth Proportional to 31,753.76, 43,822.78 and 17,606.30

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Solution

The fourth proportional to 31,753.76, 43,822.78 and 17,606.30 is: 24,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.76 : 43,822.78 = 17,606.30 : x
  2. Step 2: Convert to fraction form
    31,753.76/43,822.78 = 17,606.30/x
  3. Step 3: Cross multiply
    31,753.76x = 43,822.78 × 17,606.30
  4. Step 4: Simplify right side
    31,753.76x = 771,557,011.51
  5. Step 5: Solve for x
    x = 771,557,011.51/31,753.76
  6. Step 6: Final answer
    x = 24,298.13

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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.