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Finding the Fourth Proportional to 57,675.70, 86,537.85 and 31,399.30

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Solution

The fourth proportional to 57,675.70, 86,537.85 and 31,399.30 is: 47,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,675.70 : 86,537.85 = 31,399.30 : x
  2. Step 2: Convert to fraction form
    57,675.70/86,537.85 = 31,399.30/x
  3. Step 3: Cross multiply
    57,675.70x = 86,537.85 × 31,399.30
  4. Step 4: Simplify right side
    57,675.70x = 2,717,227,913.51
  5. Step 5: Solve for x
    x = 2,717,227,913.51/57,675.70
  6. Step 6: Final answer
    x = 47,112.18

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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.