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Finding the Fourth Proportional to 114,401.10, 171,601.65 and 31,295.10

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Solution

The fourth proportional to 114,401.10, 171,601.65 and 31,295.10 is: 46,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,401.10 : 171,601.65 = 31,295.10 : x
  2. Step 2: Convert to fraction form
    114,401.10/171,601.65 = 31,295.10/x
  3. Step 3: Cross multiply
    114,401.10x = 171,601.65 × 31,295.10
  4. Step 4: Simplify right side
    114,401.10x = 5,370,290,796.92
  5. Step 5: Solve for x
    x = 5,370,290,796.92/114,401.10
  6. Step 6: Final answer
    x = 46,942.65

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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.