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Finding the Fourth Proportional to 114,662.85, 172,061.94 and 43,645.29

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Solution

The fourth proportional to 114,662.85, 172,061.94 and 43,645.29 is: 65,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,662.85 : 172,061.94 = 43,645.29 : x
  2. Step 2: Convert to fraction form
    114,662.85/172,061.94 = 43,645.29/x
  3. Step 3: Cross multiply
    114,662.85x = 172,061.94 × 43,645.29
  4. Step 4: Simplify right side
    114,662.85x = 7,509,693,269.26
  5. Step 5: Solve for x
    x = 7,509,693,269.26/114,662.85
  6. Step 6: Final answer
    x = 65,493.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.