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Finding the Fourth Proportional to 57,297.72, 85,950.68 and 23,984.24

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Solution

The fourth proportional to 57,297.72, 85,950.68 and 23,984.24 is: 35,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,297.72 : 85,950.68 = 23,984.24 : x
  2. Step 2: Convert to fraction form
    57,297.72/85,950.68 = 23,984.24/x
  3. Step 3: Cross multiply
    57,297.72x = 85,950.68 × 23,984.24
  4. Step 4: Simplify right side
    57,297.72x = 2,061,461,737.28
  5. Step 5: Solve for x
    x = 2,061,461,737.28/57,297.72
  6. Step 6: Final answer
    x = 35,978.08

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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.