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Finding the Fourth Proportional to 57,385.31, 86,082.93 and 15,832.31

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Solution

The fourth proportional to 57,385.31, 86,082.93 and 15,832.31 is: 23,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,385.31 : 86,082.93 = 15,832.31 : x
  2. Step 2: Convert to fraction form
    57,385.31/86,082.93 = 15,832.31/x
  3. Step 3: Cross multiply
    57,385.31x = 86,082.93 × 15,832.31
  4. Step 4: Simplify right side
    57,385.31x = 1,362,891,848.68
  5. Step 5: Solve for x
    x = 1,362,891,848.68/57,385.31
  6. Step 6: Final answer
    x = 23,749.84

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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.