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Finding the Fourth Proportional to 84,117.72, 116,080.73 and 46,391.97

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Solution

The fourth proportional to 84,117.72, 116,080.73 and 46,391.97 is: 64,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,117.72 : 116,080.73 = 46,391.97 : x
  2. Step 2: Convert to fraction form
    84,117.72/116,080.73 = 46,391.97/x
  3. Step 3: Cross multiply
    84,117.72x = 116,080.73 × 46,391.97
  4. Step 4: Simplify right side
    84,117.72x = 5,385,214,121.05
  5. Step 5: Solve for x
    x = 5,385,214,121.05/84,117.72
  6. Step 6: Final answer
    x = 64,019.97

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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.