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Finding the Fourth Proportional to 114,914.16, 172,371.24 and 36,034.54

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Solution

The fourth proportional to 114,914.16, 172,371.24 and 36,034.54 is: 54,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,914.16 : 172,371.24 = 36,034.54 : x
  2. Step 2: Convert to fraction form
    114,914.16/172,371.24 = 36,034.54/x
  3. Step 3: Cross multiply
    114,914.16x = 172,371.24 × 36,034.54
  4. Step 4: Simplify right side
    114,914.16x = 6,211,317,911.70
  5. Step 5: Solve for x
    x = 6,211,317,911.70/114,914.16
  6. Step 6: Final answer
    x = 54,051.81

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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.