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Finding the Fourth Proportional to 31,097.09, 42,902.57 and 19,925.57

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Solution

The fourth proportional to 31,097.09, 42,902.57 and 19,925.57 is: 27,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.09 : 42,902.57 = 19,925.57 : x
  2. Step 2: Convert to fraction form
    31,097.09/42,902.57 = 19,925.57/x
  3. Step 3: Cross multiply
    31,097.09x = 42,902.57 × 19,925.57
  4. Step 4: Simplify right side
    31,097.09x = 854,857,847.57
  5. Step 5: Solve for x
    x = 854,857,847.57/31,097.09
  6. Step 6: Final answer
    x = 27,489.97

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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.