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Finding the Fourth Proportional to 114,129, 171,193.91 and 31,023

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Solution

The fourth proportional to 114,129, 171,193.91 and 31,023 is: 46,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,129 : 171,193.91 = 31,023 : x
  2. Step 2: Convert to fraction form
    114,129/171,193.91 = 31,023/x
  3. Step 3: Cross multiply
    114,129x = 171,193.91 × 31,023
  4. Step 4: Simplify right side
    114,129x = 5,310,948,514.82
  5. Step 5: Solve for x
    x = 5,310,948,514.82/114,129
  6. Step 6: Final answer
    x = 46,534.61

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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.