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Finding the Fourth Proportional to 31,019.68, 42,822.03 and 19,093.24

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Solution

The fourth proportional to 31,019.68, 42,822.03 and 19,093.24 is: 26,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.68 : 42,822.03 = 19,093.24 : x
  2. Step 2: Convert to fraction form
    31,019.68/42,822.03 = 19,093.24/x
  3. Step 3: Cross multiply
    31,019.68x = 42,822.03 × 19,093.24
  4. Step 4: Simplify right side
    31,019.68x = 817,611,296.08
  5. Step 5: Solve for x
    x = 817,611,296.08/31,019.68
  6. Step 6: Final answer
    x = 26,357.82

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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.