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Finding the Fourth Proportional to 31,099.14, 42,934.00 and 21,915.11

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Solution

The fourth proportional to 31,099.14, 42,934.00 and 21,915.11 is: 30,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.14 : 42,934.00 = 21,915.11 : x
  2. Step 2: Convert to fraction form
    31,099.14/42,934.00 = 21,915.11/x
  3. Step 3: Cross multiply
    31,099.14x = 42,934.00 × 21,915.11
  4. Step 4: Simplify right side
    31,099.14x = 940,903,184.87
  5. Step 5: Solve for x
    x = 940,903,184.87/31,099.14
  6. Step 6: Final answer
    x = 30,254.96

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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.