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Finding the Fourth Proportional to 114,293.63, 171,456.52 and 47,718.62

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Solution

The fourth proportional to 114,293.63, 171,456.52 and 47,718.62 is: 71,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,293.63 : 171,456.52 = 47,718.62 : x
  2. Step 2: Convert to fraction form
    114,293.63/171,456.52 = 47,718.62/x
  3. Step 3: Cross multiply
    114,293.63x = 171,456.52 × 47,718.62
  4. Step 4: Simplify right side
    114,293.63x = 8,181,668,524.40
  5. Step 5: Solve for x
    x = 8,181,668,524.40/114,293.63
  6. Step 6: Final answer
    x = 71,584.64

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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.