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Finding the Fourth Proportional to 57,580.88, 86,362.81 and 18,147.65

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Solution

The fourth proportional to 57,580.88, 86,362.81 and 18,147.65 is: 27,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,580.88 : 86,362.81 = 18,147.65 : x
  2. Step 2: Convert to fraction form
    57,580.88/86,362.81 = 18,147.65/x
  3. Step 3: Cross multiply
    57,580.88x = 86,362.81 × 18,147.65
  4. Step 4: Simplify right side
    57,580.88x = 1,567,281,571.71
  5. Step 5: Solve for x
    x = 1,567,281,571.71/57,580.88
  6. Step 6: Final answer
    x = 27,218.79

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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.