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Finding the Fourth Proportional to 114,057.44, 171,083.28 and 30,949.28

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Solution

The fourth proportional to 114,057.44, 171,083.28 and 30,949.28 is: 46,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,057.44 : 171,083.28 = 30,949.28 : x
  2. Step 2: Convert to fraction form
    114,057.44/171,083.28 = 30,949.28/x
  3. Step 3: Cross multiply
    114,057.44x = 171,083.28 × 30,949.28
  4. Step 4: Simplify right side
    114,057.44x = 5,294,904,336.04
  5. Step 5: Solve for x
    x = 5,294,904,336.04/114,057.44
  6. Step 6: Final answer
    x = 46,423.14

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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.