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Finding the Fourth Proportional to 114,767.82, 172,161.65 and 31,661.82

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Solution

The fourth proportional to 114,767.82, 172,161.65 and 31,661.82 is: 47,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,767.82 : 172,161.65 = 31,661.82 : x
  2. Step 2: Convert to fraction form
    114,767.82/172,161.65 = 31,661.82/x
  3. Step 3: Cross multiply
    114,767.82x = 172,161.65 × 31,661.82
  4. Step 4: Simplify right side
    114,767.82x = 5,450,950,154.09
  5. Step 5: Solve for x
    x = 5,450,950,154.09/114,767.82
  6. Step 6: Final answer
    x = 47,495.46

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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.