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Finding the Fourth Proportional to 57,662.58, 86,505.54 and 24,382.59

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Solution

The fourth proportional to 57,662.58, 86,505.54 and 24,382.59 is: 36,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,662.58 : 86,505.54 = 24,382.59 : x
  2. Step 2: Convert to fraction form
    57,662.58/86,505.54 = 24,382.59/x
  3. Step 3: Cross multiply
    57,662.58x = 86,505.54 × 24,382.59
  4. Step 4: Simplify right side
    57,662.58x = 2,109,228,621.06
  5. Step 5: Solve for x
    x = 2,109,228,621.06/57,662.58
  6. Step 6: Final answer
    x = 36,578.81

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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.