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Finding the Fourth Proportional to 114,763.73, 172,131.89 and 30,530.07

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Solution

The fourth proportional to 114,763.73, 172,131.89 and 30,530.07 is: 45,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,763.73 : 172,131.89 = 30,530.07 : x
  2. Step 2: Convert to fraction form
    114,763.73/172,131.89 = 30,530.07/x
  3. Step 3: Cross multiply
    114,763.73x = 172,131.89 × 30,530.07
  4. Step 4: Simplify right side
    114,763.73x = 5,255,198,498.28
  5. Step 5: Solve for x
    x = 5,255,198,498.28/114,763.73
  6. Step 6: Final answer
    x = 45,791.46

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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.