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Finding the Fourth Proportional to 57,772.96, 86,642.23 and 24,492.49

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Solution

The fourth proportional to 57,772.96, 86,642.23 and 24,492.49 is: 36,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,772.96 : 86,642.23 = 24,492.49 : x
  2. Step 2: Convert to fraction form
    57,772.96/86,642.23 = 24,492.49/x
  3. Step 3: Cross multiply
    57,772.96x = 86,642.23 × 24,492.49
  4. Step 4: Simplify right side
    57,772.96x = 2,122,083,890.62
  5. Step 5: Solve for x
    x = 2,122,083,890.62/57,772.96
  6. Step 6: Final answer
    x = 36,731.44

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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.