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Finding the Fourth Proportional to 57,462.65, 86,009.30 and 30,741.97

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Solution

The fourth proportional to 57,462.65, 86,009.30 and 30,741.97 is: 46,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,462.65 : 86,009.30 = 30,741.97 : x
  2. Step 2: Convert to fraction form
    57,462.65/86,009.30 = 30,741.97/x
  3. Step 3: Cross multiply
    57,462.65x = 86,009.30 × 30,741.97
  4. Step 4: Simplify right side
    57,462.65x = 2,644,094,736.56
  5. Step 5: Solve for x
    x = 2,644,094,736.56/57,462.65
  6. Step 6: Final answer
    x = 46,014.15

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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.