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Finding the Fourth Proportional to 31,343.16, 47,014.74 and 7,650.66

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Solution

The fourth proportional to 31,343.16, 47,014.74 and 7,650.66 is: 11,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343.16 : 47,014.74 = 7,650.66 : x
  2. Step 2: Convert to fraction form
    31,343.16/47,014.74 = 7,650.66/x
  3. Step 3: Cross multiply
    31,343.16x = 47,014.74 × 7,650.66
  4. Step 4: Simplify right side
    31,343.16x = 359,693,790.73
  5. Step 5: Solve for x
    x = 359,693,790.73/31,343.16
  6. Step 6: Final answer
    x = 11,475.99

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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.