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Finding the Fourth Proportional to 30,442.82, 45,667.92 and 10,717.34

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Solution

The fourth proportional to 30,442.82, 45,667.92 and 10,717.34 is: 16,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.82 : 45,667.92 = 10,717.34 : x
  2. Step 2: Convert to fraction form
    30,442.82/45,667.92 = 10,717.34/x
  3. Step 3: Cross multiply
    30,442.82x = 45,667.92 × 10,717.34
  4. Step 4: Simplify right side
    30,442.82x = 489,438,625.73
  5. Step 5: Solve for x
    x = 489,438,625.73/30,442.82
  6. Step 6: Final answer
    x = 16,077.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.