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Finding the Fourth Proportional to 114,589.59, 171,708.57 and 47,993.28

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Solution

The fourth proportional to 114,589.59, 171,708.57 and 47,993.28 is: 71,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,589.59 : 171,708.57 = 47,993.28 : x
  2. Step 2: Convert to fraction form
    114,589.59/171,708.57 = 47,993.28/x
  3. Step 3: Cross multiply
    114,589.59x = 171,708.57 × 47,993.28
  4. Step 4: Simplify right side
    114,589.59x = 8,240,857,478.41
  5. Step 5: Solve for x
    x = 8,240,857,478.41/114,589.59
  6. Step 6: Final answer
    x = 71,916.28

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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.