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Finding the Fourth Proportional to 31,614.95, 47,425.14 and 8,241.38

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Solution

The fourth proportional to 31,614.95, 47,425.14 and 8,241.38 is: 12,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.95 : 47,425.14 = 8,241.38 : x
  2. Step 2: Convert to fraction form
    31,614.95/47,425.14 = 8,241.38/x
  3. Step 3: Cross multiply
    31,614.95x = 47,425.14 × 8,241.38
  4. Step 4: Simplify right side
    31,614.95x = 390,848,363.17
  5. Step 5: Solve for x
    x = 390,848,363.17/31,614.95
  6. Step 6: Final answer
    x = 12,362.77

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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.