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Finding the Fourth Proportional to 37,706.26, 52,034.80 and 23,567.18

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Solution

The fourth proportional to 37,706.26, 52,034.80 and 23,567.18 is: 32,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,706.26 : 52,034.80 = 23,567.18 : x
  2. Step 2: Convert to fraction form
    37,706.26/52,034.80 = 23,567.18/x
  3. Step 3: Cross multiply
    37,706.26x = 52,034.80 × 23,567.18
  4. Step 4: Simplify right side
    37,706.26x = 1,226,313,497.86
  5. Step 5: Solve for x
    x = 1,226,313,497.86/37,706.26
  6. Step 6: Final answer
    x = 32,522.81

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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.