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Finding the Fourth Proportional to 84,770, 116,976.84 and 47,046.32

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Solution

The fourth proportional to 84,770, 116,976.84 and 47,046.32 is: 64,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,770 : 116,976.84 = 47,046.32 : x
  2. Step 2: Convert to fraction form
    84,770/116,976.84 = 47,046.32/x
  3. Step 3: Cross multiply
    84,770x = 116,976.84 × 47,046.32
  4. Step 4: Simplify right side
    84,770x = 5,503,329,847.23
  5. Step 5: Solve for x
    x = 5,503,329,847.23/84,770
  6. Step 6: Final answer
    x = 64,920.72

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