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Finding the Fourth Proportional to 84,751.96, 116,960.34 and 47,029.72

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Solution

The fourth proportional to 84,751.96, 116,960.34 and 47,029.72 is: 64,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,751.96 : 116,960.34 = 47,029.72 : x
  2. Step 2: Convert to fraction form
    84,751.96/116,960.34 = 47,029.72/x
  3. Step 3: Cross multiply
    84,751.96x = 116,960.34 × 47,029.72
  4. Step 4: Simplify right side
    84,751.96x = 5,500,612,041.30
  5. Step 5: Solve for x
    x = 5,500,612,041.30/84,751.96
  6. Step 6: Final answer
    x = 64,902.48

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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.