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Finding the Fourth Proportional to 114,661.10, 172,021.35 and 43,584.95

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Solution

The fourth proportional to 114,661.10, 172,021.35 and 43,584.95 is: 65,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,661.10 : 172,021.35 = 43,584.95 : x
  2. Step 2: Convert to fraction form
    114,661.10/172,021.35 = 43,584.95/x
  3. Step 3: Cross multiply
    114,661.10x = 172,021.35 × 43,584.95
  4. Step 4: Simplify right side
    114,661.10x = 7,497,541,078.58
  5. Step 5: Solve for x
    x = 7,497,541,078.58/114,661.10
  6. Step 6: Final answer
    x = 65,388.71

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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.