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Finding the Fourth Proportional to 37,927.71, 52,344.90 and 22,828.23

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Solution

The fourth proportional to 37,927.71, 52,344.90 and 22,828.23 is: 31,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,927.71 : 52,344.90 = 22,828.23 : x
  2. Step 2: Convert to fraction form
    37,927.71/52,344.90 = 22,828.23/x
  3. Step 3: Cross multiply
    37,927.71x = 52,344.90 × 22,828.23
  4. Step 4: Simplify right side
    37,927.71x = 1,194,941,416.53
  5. Step 5: Solve for x
    x = 1,194,941,416.53/37,927.71
  6. Step 6: Final answer
    x = 31,505.76

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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.