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Finding the Fourth Proportional to 30,471.24, 42,037.94 and 19,857

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Solution

The fourth proportional to 30,471.24, 42,037.94 and 19,857 is: 27,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.24 : 42,037.94 = 19,857 : x
  2. Step 2: Convert to fraction form
    30,471.24/42,037.94 = 19,857/x
  3. Step 3: Cross multiply
    30,471.24x = 42,037.94 × 19,857
  4. Step 4: Simplify right side
    30,471.24x = 834,747,374.58
  5. Step 5: Solve for x
    x = 834,747,374.58/30,471.24
  6. Step 6: Final answer
    x = 27,394.60

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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.