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Finding the Fourth Proportional to 57,644.96, 85,894.38 and 51,356.65

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Solution

The fourth proportional to 57,644.96, 85,894.38 and 51,356.65 is: 76,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644.96 : 85,894.38 = 51,356.65 : x
  2. Step 2: Convert to fraction form
    57,644.96/85,894.38 = 51,356.65/x
  3. Step 3: Cross multiply
    57,644.96x = 85,894.38 × 51,356.65
  4. Step 4: Simplify right side
    57,644.96x = 4,411,247,181.16
  5. Step 5: Solve for x
    x = 4,411,247,181.16/57,644.96
  6. Step 6: Final answer
    x = 76,524.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.