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Finding the Fourth Proportional to 31,035.96, 42,844.14 and 19,864.44

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Solution

The fourth proportional to 31,035.96, 42,844.14 and 19,864.44 is: 27,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,035.96 : 42,844.14 = 19,864.44 : x
  2. Step 2: Convert to fraction form
    31,035.96/42,844.14 = 19,864.44/x
  3. Step 3: Cross multiply
    31,035.96x = 42,844.14 × 19,864.44
  4. Step 4: Simplify right side
    31,035.96x = 851,074,848.38
  5. Step 5: Solve for x
    x = 851,074,848.38/31,035.96
  6. Step 6: Final answer
    x = 27,422.22

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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.