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Finding the Fourth Proportional to 31,825.16, 47,737.76 and 12,099.16

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Solution

The fourth proportional to 31,825.16, 47,737.76 and 12,099.16 is: 18,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,825.16 : 47,737.76 = 12,099.16 : x
  2. Step 2: Convert to fraction form
    31,825.16/47,737.76 = 12,099.16/x
  3. Step 3: Cross multiply
    31,825.16x = 47,737.76 × 12,099.16
  4. Step 4: Simplify right side
    31,825.16x = 577,586,796.28
  5. Step 5: Solve for x
    x = 577,586,796.28/31,825.16
  6. Step 6: Final answer
    x = 18,148.75

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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.