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Finding the Fourth Proportional to 31,414.37, 43,374.76 and 21,838.28

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Solution

The fourth proportional to 31,414.37, 43,374.76 and 21,838.28 is: 30,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414.37 : 43,374.76 = 21,838.28 : x
  2. Step 2: Convert to fraction form
    31,414.37/43,374.76 = 21,838.28/x
  3. Step 3: Cross multiply
    31,414.37x = 43,374.76 × 21,838.28
  4. Step 4: Simplify right side
    31,414.37x = 947,229,882.34
  5. Step 5: Solve for x
    x = 947,229,882.34/31,414.37
  6. Step 6: Final answer
    x = 30,152.76

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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.