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Finding the Fourth Proportional to 37,722, 52,047.66 and 22,611.84

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Solution

The fourth proportional to 37,722, 52,047.66 and 22,611.84 is: 31,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,722 : 52,047.66 = 22,611.84 : x
  2. Step 2: Convert to fraction form
    37,722/52,047.66 = 22,611.84/x
  3. Step 3: Cross multiply
    37,722x = 52,047.66 × 22,611.84
  4. Step 4: Simplify right side
    37,722x = 1,176,893,360.29
  5. Step 5: Solve for x
    x = 1,176,893,360.29/37,722
  6. Step 6: Final answer
    x = 31,199.12

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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.