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Finding the Fourth Proportional to 57,493.81, 86,138.11 and 31,181.77

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Solution

The fourth proportional to 57,493.81, 86,138.11 and 31,181.77 is: 46,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,493.81 : 86,138.11 = 31,181.77 : x
  2. Step 2: Convert to fraction form
    57,493.81/86,138.11 = 31,181.77/x
  3. Step 3: Cross multiply
    57,493.81x = 86,138.11 × 31,181.77
  4. Step 4: Simplify right side
    57,493.81x = 2,685,938,734.25
  5. Step 5: Solve for x
    x = 2,685,938,734.25/57,493.81
  6. Step 6: Final answer
    x = 46,717.01

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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.