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Finding the Fourth Proportional to 30,856.78, 42,582.27 and 17,427.37

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Solution

The fourth proportional to 30,856.78, 42,582.27 and 17,427.37 is: 24,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.78 : 42,582.27 = 17,427.37 : x
  2. Step 2: Convert to fraction form
    30,856.78/42,582.27 = 17,427.37/x
  3. Step 3: Cross multiply
    30,856.78x = 42,582.27 × 17,427.37
  4. Step 4: Simplify right side
    30,856.78x = 742,096,974.73
  5. Step 5: Solve for x
    x = 742,096,974.73/30,856.78
  6. Step 6: Final answer
    x = 24,049.72

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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.