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Finding the Fourth Proportional to 114,774.39, 172,171.50 and 31,668.39

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Solution

The fourth proportional to 114,774.39, 172,171.50 and 31,668.39 is: 47,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,774.39 : 172,171.50 = 31,668.39 : x
  2. Step 2: Convert to fraction form
    114,774.39/172,171.50 = 31,668.39/x
  3. Step 3: Cross multiply
    114,774.39x = 172,171.50 × 31,668.39
  4. Step 4: Simplify right side
    114,774.39x = 5,452,394,208.89
  5. Step 5: Solve for x
    x = 5,452,394,208.89/114,774.39
  6. Step 6: Final answer
    x = 47,505.32

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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.