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Finding the Fourth Proportional to 114,578.80, 171,664.88 and 47,872.16

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Solution

The fourth proportional to 114,578.80, 171,664.88 and 47,872.16 is: 71,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,578.80 : 171,664.88 = 47,872.16 : x
  2. Step 2: Convert to fraction form
    114,578.80/171,664.88 = 47,872.16/x
  3. Step 3: Cross multiply
    114,578.80x = 171,664.88 × 47,872.16
  4. Step 4: Simplify right side
    114,578.80x = 8,217,968,601.74
  5. Step 5: Solve for x
    x = 8,217,968,601.74/114,578.80
  6. Step 6: Final answer
    x = 71,723.29

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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.