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Finding the Fourth Proportional to 38,049.41, 52,510.07 and 22,946.96

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Solution

The fourth proportional to 38,049.41, 52,510.07 and 22,946.96 is: 31,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049.41 : 52,510.07 = 22,946.96 : x
  2. Step 2: Convert to fraction form
    38,049.41/52,510.07 = 22,946.96/x
  3. Step 3: Cross multiply
    38,049.41x = 52,510.07 × 22,946.96
  4. Step 4: Simplify right side
    38,049.41x = 1,204,946,664.53
  5. Step 5: Solve for x
    x = 1,204,946,664.53/38,049.41
  6. Step 6: Final answer
    x = 31,667.94

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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.