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Finding the Fourth Proportional to 31,141, 42,994.02 and 19,982.44

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Solution

The fourth proportional to 31,141, 42,994.02 and 19,982.44 is: 27,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141 : 42,994.02 = 19,982.44 : x
  2. Step 2: Convert to fraction form
    31,141/42,994.02 = 19,982.44/x
  3. Step 3: Cross multiply
    31,141x = 42,994.02 × 19,982.44
  4. Step 4: Simplify right side
    31,141x = 859,125,425.01
  5. Step 5: Solve for x
    x = 859,125,425.01/31,141
  6. Step 6: Final answer
    x = 27,588.24

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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.