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Finding the Fourth Proportional to 57,123.45, 85,699.96 and 33,451

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Solution

The fourth proportional to 57,123.45, 85,699.96 and 33,451 is: 50,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,123.45 : 85,699.96 = 33,451 : x
  2. Step 2: Convert to fraction form
    57,123.45/85,699.96 = 33,451/x
  3. Step 3: Cross multiply
    57,123.45x = 85,699.96 × 33,451
  4. Step 4: Simplify right side
    57,123.45x = 2,866,749,361.96
  5. Step 5: Solve for x
    x = 2,866,749,361.96/57,123.45
  6. Step 6: Final answer
    x = 50,185.16

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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.