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Finding the Fourth Proportional to 57,096.01, 85,668.64 and 23,822.63

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Solution

The fourth proportional to 57,096.01, 85,668.64 and 23,822.63 is: 35,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,096.01 : 85,668.64 = 23,822.63 : x
  2. Step 2: Convert to fraction form
    57,096.01/85,668.64 = 23,822.63/x
  3. Step 3: Cross multiply
    57,096.01x = 85,668.64 × 23,822.63
  4. Step 4: Simplify right side
    57,096.01x = 2,040,852,146.68
  5. Step 5: Solve for x
    x = 2,040,852,146.68/57,096.01
  6. Step 6: Final answer
    x = 35,744.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.