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Finding the Fourth Proportional to 114,372, 171,570 and 31,266

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Solution

The fourth proportional to 114,372, 171,570 and 31,266 is: 46,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,372 : 171,570 = 31,266 : x
  2. Step 2: Convert to fraction form
    114,372/171,570 = 31,266/x
  3. Step 3: Cross multiply
    114,372x = 171,570 × 31,266
  4. Step 4: Simplify right side
    114,372x = 5,364,307,620
  5. Step 5: Solve for x
    x = 5,364,307,620/114,372
  6. Step 6: Final answer
    x = 46,902.28

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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.