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Finding the Fourth Proportional to 114,273, 171,409.91 and 31,167

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Solution

The fourth proportional to 114,273, 171,409.91 and 31,167 is: 46,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,273 : 171,409.91 = 31,167 : x
  2. Step 2: Convert to fraction form
    114,273/171,409.91 = 31,167/x
  3. Step 3: Cross multiply
    114,273x = 171,409.91 × 31,167
  4. Step 4: Simplify right side
    114,273x = 5,342,332,509.14
  5. Step 5: Solve for x
    x = 5,342,332,509.14/114,273
  6. Step 6: Final answer
    x = 46,750.61

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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.