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Finding the Fourth Proportional to 114,842.82, 172,264.25 and 35,963.21

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Solution

The fourth proportional to 114,842.82, 172,264.25 and 35,963.21 is: 53,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,842.82 : 172,264.25 = 35,963.21 : x
  2. Step 2: Convert to fraction form
    114,842.82/172,264.25 = 35,963.21/x
  3. Step 3: Cross multiply
    114,842.82x = 172,264.25 × 35,963.21
  4. Step 4: Simplify right side
    114,842.82x = 6,195,174,357.11
  5. Step 5: Solve for x
    x = 6,195,174,357.11/114,842.82
  6. Step 6: Final answer
    x = 53,944.81

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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.