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Finding the Fourth Proportional to 57,297.72, 85,950.72 and 23,984.28

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Solution

The fourth proportional to 57,297.72, 85,950.72 and 23,984.28 is: 35,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,297.72 : 85,950.72 = 23,984.28 : x
  2. Step 2: Convert to fraction form
    57,297.72/85,950.72 = 23,984.28/x
  3. Step 3: Cross multiply
    57,297.72x = 85,950.72 × 23,984.28
  4. Step 4: Simplify right side
    57,297.72x = 2,061,466,134.68
  5. Step 5: Solve for x
    x = 2,061,466,134.68/57,297.72
  6. Step 6: Final answer
    x = 35,978.15

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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.