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Finding the Fourth Proportional to 41,609, 57,420.42 and 22,746.26

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Solution

The fourth proportional to 41,609, 57,420.42 and 22,746.26 is: 31,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,609 : 57,420.42 = 22,746.26 : x
  2. Step 2: Convert to fraction form
    41,609/57,420.42 = 22,746.26/x
  3. Step 3: Cross multiply
    41,609x = 57,420.42 × 22,746.26
  4. Step 4: Simplify right side
    41,609x = 1,306,099,802.63
  5. Step 5: Solve for x
    x = 1,306,099,802.63/41,609
  6. Step 6: Final answer
    x = 31,389.84

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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.