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Finding the Fourth Proportional to 37,754.71, 52,101.02 and 21,838.82

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Solution

The fourth proportional to 37,754.71, 52,101.02 and 21,838.82 is: 30,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,754.71 : 52,101.02 = 21,838.82 : x
  2. Step 2: Convert to fraction form
    37,754.71/52,101.02 = 21,838.82/x
  3. Step 3: Cross multiply
    37,754.71x = 52,101.02 × 21,838.82
  4. Step 4: Simplify right side
    37,754.71x = 1,137,824,591.69
  5. Step 5: Solve for x
    x = 1,137,824,591.69/37,754.71
  6. Step 6: Final answer
    x = 30,137.29

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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.