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Finding the Fourth Proportional to 41,684.78, 57,525 and 22,821.90

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Solution

The fourth proportional to 41,684.78, 57,525 and 22,821.90 is: 31,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,684.78 : 57,525 = 22,821.90 : x
  2. Step 2: Convert to fraction form
    41,684.78/57,525 = 22,821.90/x
  3. Step 3: Cross multiply
    41,684.78x = 57,525 × 22,821.90
  4. Step 4: Simplify right side
    41,684.78x = 1,312,829,797.50
  5. Step 5: Solve for x
    x = 1,312,829,797.50/41,684.78
  6. Step 6: Final answer
    x = 31,494.22

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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.