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Finding the Fourth Proportional to 114,076.08, 171,101.05 and 29,844.38

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Solution

The fourth proportional to 114,076.08, 171,101.05 and 29,844.38 is: 44,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,076.08 : 171,101.05 = 29,844.38 : x
  2. Step 2: Convert to fraction form
    114,076.08/171,101.05 = 29,844.38/x
  3. Step 3: Cross multiply
    114,076.08x = 171,101.05 × 29,844.38
  4. Step 4: Simplify right side
    114,076.08x = 5,106,404,072.56
  5. Step 5: Solve for x
    x = 5,106,404,072.56/114,076.08
  6. Step 6: Final answer
    x = 44,763.14

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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.