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Finding the Fourth Proportional to 57,096.99, 85,651.25 and 19,652.15

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Solution

The fourth proportional to 57,096.99, 85,651.25 and 19,652.15 is: 29,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,096.99 : 85,651.25 = 19,652.15 : x
  2. Step 2: Convert to fraction form
    57,096.99/85,651.25 = 19,652.15/x
  3. Step 3: Cross multiply
    57,096.99x = 85,651.25 × 19,652.15
  4. Step 4: Simplify right side
    57,096.99x = 1,683,230,784.43
  5. Step 5: Solve for x
    x = 1,683,230,784.43/57,096.99
  6. Step 6: Final answer
    x = 29,480.20

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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.