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Finding the Fourth Proportional to 114,326.91, 171,462.69 and 47,730.87

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Solution

The fourth proportional to 114,326.91, 171,462.69 and 47,730.87 is: 71,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,326.91 : 171,462.69 = 47,730.87 : x
  2. Step 2: Convert to fraction form
    114,326.91/171,462.69 = 47,730.87/x
  3. Step 3: Cross multiply
    114,326.91x = 171,462.69 × 47,730.87
  4. Step 4: Simplify right side
    114,326.91x = 8,184,063,366.24
  5. Step 5: Solve for x
    x = 8,184,063,366.24/114,326.91
  6. Step 6: Final answer
    x = 71,584.75

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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.