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Finding the Fourth Proportional to 57,314.10, 85,891.05 and 48,836.31

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Solution

The fourth proportional to 57,314.10, 85,891.05 and 48,836.31 is: 73,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,314.10 : 85,891.05 = 48,836.31 : x
  2. Step 2: Convert to fraction form
    57,314.10/85,891.05 = 48,836.31/x
  3. Step 3: Cross multiply
    57,314.10x = 85,891.05 × 48,836.31
  4. Step 4: Simplify right side
    57,314.10x = 4,194,601,699.84
  5. Step 5: Solve for x
    x = 4,194,601,699.84/57,314.10
  6. Step 6: Final answer
    x = 73,186.21

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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.