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Finding the Fourth Proportional to 84,716.89, 116,923.34 and 47,003.29

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Solution

The fourth proportional to 84,716.89, 116,923.34 and 47,003.29 is: 64,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,716.89 : 116,923.34 = 47,003.29 : x
  2. Step 2: Convert to fraction form
    84,716.89/116,923.34 = 47,003.29/x
  3. Step 3: Cross multiply
    84,716.89x = 116,923.34 × 47,003.29
  4. Step 4: Simplify right side
    84,716.89x = 5,495,781,657.79
  5. Step 5: Solve for x
    x = 5,495,781,657.79/84,716.89
  6. Step 6: Final answer
    x = 64,872.33

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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.