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Finding the Fourth Proportional to 114,723.71, 172,109.86 and 35,843.88

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Solution

The fourth proportional to 114,723.71, 172,109.86 and 35,843.88 is: 53,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,723.71 : 172,109.86 = 35,843.88 : x
  2. Step 2: Convert to fraction form
    114,723.71/172,109.86 = 35,843.88/x
  3. Step 3: Cross multiply
    114,723.71x = 172,109.86 × 35,843.88
  4. Step 4: Simplify right side
    114,723.71x = 6,169,085,168.66
  5. Step 5: Solve for x
    x = 6,169,085,168.66/114,723.71
  6. Step 6: Final answer
    x = 53,773.41

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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.