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Finding the Fourth Proportional to 41,598, 57,405.24 and 22,735.14

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Solution

The fourth proportional to 41,598, 57,405.24 and 22,735.14 is: 31,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,598 : 57,405.24 = 22,735.14 : x
  2. Step 2: Convert to fraction form
    41,598/57,405.24 = 22,735.14/x
  3. Step 3: Cross multiply
    41,598x = 57,405.24 × 22,735.14
  4. Step 4: Simplify right side
    41,598x = 1,305,116,168.13
  5. Step 5: Solve for x
    x = 1,305,116,168.13/41,598
  6. Step 6: Final answer
    x = 31,374.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.