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Finding the Fourth Proportional to 31,896.24, 47,851.64 and 9,712.76

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Solution

The fourth proportional to 31,896.24, 47,851.64 and 9,712.76 is: 14,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.24 : 47,851.64 = 9,712.76 : x
  2. Step 2: Convert to fraction form
    31,896.24/47,851.64 = 9,712.76/x
  3. Step 3: Cross multiply
    31,896.24x = 47,851.64 × 9,712.76
  4. Step 4: Simplify right side
    31,896.24x = 464,771,494.93
  5. Step 5: Solve for x
    x = 464,771,494.93/31,896.24
  6. Step 6: Final answer
    x = 14,571.36

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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.