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Finding the Fourth Proportional to 37,706.65, 52,019.28 and 22,594.48

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Solution

The fourth proportional to 37,706.65, 52,019.28 and 22,594.48 is: 31,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,706.65 : 52,019.28 = 22,594.48 : x
  2. Step 2: Convert to fraction form
    37,706.65/52,019.28 = 22,594.48/x
  3. Step 3: Cross multiply
    37,706.65x = 52,019.28 × 22,594.48
  4. Step 4: Simplify right side
    37,706.65x = 1,175,348,451.53
  5. Step 5: Solve for x
    x = 1,175,348,451.53/37,706.65
  6. Step 6: Final answer
    x = 31,170.86

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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.