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Finding the Fourth Proportional to 71,774.60, 107,646.94 and 27,391.40

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Solution

The fourth proportional to 71,774.60, 107,646.94 and 27,391.40 is: 41,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,774.60 : 107,646.94 = 27,391.40 : x
  2. Step 2: Convert to fraction form
    71,774.60/107,646.94 = 27,391.40/x
  3. Step 3: Cross multiply
    71,774.60x = 107,646.94 × 27,391.40
  4. Step 4: Simplify right side
    71,774.60x = 2,948,600,392.32
  5. Step 5: Solve for x
    x = 2,948,600,392.32/71,774.60
  6. Step 6: Final answer
    x = 41,081.39

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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.