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Finding the Fourth Proportional to 57,708.66, 86,562.99 and 31,464.66

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Solution

The fourth proportional to 57,708.66, 86,562.99 and 31,464.66 is: 47,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,708.66 : 86,562.99 = 31,464.66 : x
  2. Step 2: Convert to fraction form
    57,708.66/86,562.99 = 31,464.66/x
  3. Step 3: Cross multiply
    57,708.66x = 86,562.99 × 31,464.66
  4. Step 4: Simplify right side
    57,708.66x = 2,723,675,048.93
  5. Step 5: Solve for x
    x = 2,723,675,048.93/57,708.66
  6. Step 6: Final answer
    x = 47,196.99

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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.