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Finding the Fourth Proportional to 84,960, 117,244.94 and 47,234.25

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Solution

The fourth proportional to 84,960, 117,244.94 and 47,234.25 is: 65,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,960 : 117,244.94 = 47,234.25 : x
  2. Step 2: Convert to fraction form
    84,960/117,244.94 = 47,234.25/x
  3. Step 3: Cross multiply
    84,960x = 117,244.94 × 47,234.25
  4. Step 4: Simplify right side
    84,960x = 5,537,976,807.20
  5. Step 5: Solve for x
    x = 5,537,976,807.20/84,960
  6. Step 6: Final answer
    x = 65,183.34

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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.