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Finding the Fourth Proportional to 31,462.92, 47,202.56 and 11,741.63

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Solution

The fourth proportional to 31,462.92, 47,202.56 and 11,741.63 is: 17,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.92 : 47,202.56 = 11,741.63 : x
  2. Step 2: Convert to fraction form
    31,462.92/47,202.56 = 11,741.63/x
  3. Step 3: Cross multiply
    31,462.92x = 47,202.56 × 11,741.63
  4. Step 4: Simplify right side
    31,462.92x = 554,234,699.85
  5. Step 5: Solve for x
    x = 554,234,699.85/31,462.92
  6. Step 6: Final answer
    x = 17,615.49

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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.