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Finding the Fourth Proportional to 114,772.86, 172,169.22 and 31,666.86

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Solution

The fourth proportional to 114,772.86, 172,169.22 and 31,666.86 is: 47,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,772.86 : 172,169.22 = 31,666.86 : x
  2. Step 2: Convert to fraction form
    114,772.86/172,169.22 = 31,666.86/x
  3. Step 3: Cross multiply
    114,772.86x = 172,169.22 × 31,666.86
  4. Step 4: Simplify right side
    114,772.86x = 5,452,058,586.05
  5. Step 5: Solve for x
    x = 5,452,058,586.05/114,772.86
  6. Step 6: Final answer
    x = 47,503.03

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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.