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Finding the Fourth Proportional to 84,865.34, 117,101.14 and 49,048.40

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Solution

The fourth proportional to 84,865.34, 117,101.14 and 49,048.40 is: 67,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,865.34 : 117,101.14 = 49,048.40 : x
  2. Step 2: Convert to fraction form
    84,865.34/117,101.14 = 49,048.40/x
  3. Step 3: Cross multiply
    84,865.34x = 117,101.14 × 49,048.40
  4. Step 4: Simplify right side
    84,865.34x = 5,743,622,847.05
  5. Step 5: Solve for x
    x = 5,743,622,847.05/84,865.34
  6. Step 6: Final answer
    x = 67,679.26

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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.