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Finding the Fourth Proportional to 31,099.89, 42,935.03 and 21,915.86

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Solution

The fourth proportional to 31,099.89, 42,935.03 and 21,915.86 is: 30,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.89 : 42,935.03 = 21,915.86 : x
  2. Step 2: Convert to fraction form
    31,099.89/42,935.03 = 21,915.86/x
  3. Step 3: Cross multiply
    31,099.89x = 42,935.03 × 21,915.86
  4. Step 4: Simplify right side
    31,099.89x = 940,957,946.69
  5. Step 5: Solve for x
    x = 940,957,946.69/31,099.89
  6. Step 6: Final answer
    x = 30,255.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.