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Finding the Fourth Proportional to 37,696.34, 52,017.36 and 22,586.19

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Solution

The fourth proportional to 37,696.34, 52,017.36 and 22,586.19 is: 31,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,696.34 : 52,017.36 = 22,586.19 : x
  2. Step 2: Convert to fraction form
    37,696.34/52,017.36 = 22,586.19/x
  3. Step 3: Cross multiply
    37,696.34x = 52,017.36 × 22,586.19
  4. Step 4: Simplify right side
    37,696.34x = 1,174,874,179.66
  5. Step 5: Solve for x
    x = 1,174,874,179.66/37,696.34
  6. Step 6: Final answer
    x = 31,166.80

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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.