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Finding the Fourth Proportional to 114,029.78, 171,044.66 and 35,144.01

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Solution

The fourth proportional to 114,029.78, 171,044.66 and 35,144.01 is: 52,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,029.78 : 171,044.66 = 35,144.01 : x
  2. Step 2: Convert to fraction form
    114,029.78/171,044.66 = 35,144.01/x
  3. Step 3: Cross multiply
    114,029.78x = 171,044.66 × 35,144.01
  4. Step 4: Simplify right side
    114,029.78x = 6,011,195,329.35
  5. Step 5: Solve for x
    x = 6,011,195,329.35/114,029.78
  6. Step 6: Final answer
    x = 52,716.02

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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.