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Finding the Fourth Proportional to 31,419.46, 47,129.62 and 10,361.68

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Solution

The fourth proportional to 31,419.46, 47,129.62 and 10,361.68 is: 15,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419.46 : 47,129.62 = 10,361.68 : x
  2. Step 2: Convert to fraction form
    31,419.46/47,129.62 = 10,361.68/x
  3. Step 3: Cross multiply
    31,419.46x = 47,129.62 × 10,361.68
  4. Step 4: Simplify right side
    31,419.46x = 488,342,040.96
  5. Step 5: Solve for x
    x = 488,342,040.96/31,419.46
  6. Step 6: Final answer
    x = 15,542.66

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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.