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Finding the Fourth Proportional to 57,199.66, 85,829.40 and 41,534.10

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Solution

The fourth proportional to 57,199.66, 85,829.40 and 41,534.10 is: 62,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,199.66 : 85,829.40 = 41,534.10 : x
  2. Step 2: Convert to fraction form
    57,199.66/85,829.40 = 41,534.10/x
  3. Step 3: Cross multiply
    57,199.66x = 85,829.40 × 41,534.10
  4. Step 4: Simplify right side
    57,199.66x = 3,564,846,882.54
  5. Step 5: Solve for x
    x = 3,564,846,882.54/57,199.66
  6. Step 6: Final answer
    x = 62,322.87

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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.