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Finding the Fourth Proportional to 41,459.32, 57,213.84 and 22,596.46

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Solution

The fourth proportional to 41,459.32, 57,213.84 and 22,596.46 is: 31,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,459.32 : 57,213.84 = 22,596.46 : x
  2. Step 2: Convert to fraction form
    41,459.32/57,213.84 = 22,596.46/x
  3. Step 3: Cross multiply
    41,459.32x = 57,213.84 × 22,596.46
  4. Step 4: Simplify right side
    41,459.32x = 1,292,830,247.01
  5. Step 5: Solve for x
    x = 1,292,830,247.01/41,459.32
  6. Step 6: Final answer
    x = 31,183.10

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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.