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Finding the Fourth Proportional to 85,394.57, 117,835.38 and 49,577.85

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Solution

The fourth proportional to 85,394.57, 117,835.38 and 49,577.85 is: 68,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,394.57 : 117,835.38 = 49,577.85 : x
  2. Step 2: Convert to fraction form
    85,394.57/117,835.38 = 49,577.85/x
  3. Step 3: Cross multiply
    85,394.57x = 117,835.38 × 49,577.85
  4. Step 4: Simplify right side
    85,394.57x = 5,842,024,794.33
  5. Step 5: Solve for x
    x = 5,842,024,794.33/85,394.57
  6. Step 6: Final answer
    x = 68,412.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.