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Finding the Fourth Proportional to 57,010.96, 85,522.12 and 46,579.78

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Solution

The fourth proportional to 57,010.96, 85,522.12 and 46,579.78 is: 69,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,010.96 : 85,522.12 = 46,579.78 : x
  2. Step 2: Convert to fraction form
    57,010.96/85,522.12 = 46,579.78/x
  3. Step 3: Cross multiply
    57,010.96x = 85,522.12 × 46,579.78
  4. Step 4: Simplify right side
    57,010.96x = 3,983,601,534.73
  5. Step 5: Solve for x
    x = 3,983,601,534.73/57,010.96
  6. Step 6: Final answer
    x = 69,874.31

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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.