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Finding the Fourth Proportional to 114,008, 171,014.43 and 39,127.82

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Solution

The fourth proportional to 114,008, 171,014.43 and 39,127.82 is: 58,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,008 : 171,014.43 = 39,127.82 : x
  2. Step 2: Convert to fraction form
    114,008/171,014.43 = 39,127.82/x
  3. Step 3: Cross multiply
    114,008x = 171,014.43 × 39,127.82
  4. Step 4: Simplify right side
    114,008x = 6,691,421,834.44
  5. Step 5: Solve for x
    x = 6,691,421,834.44/114,008
  6. Step 6: Final answer
    x = 58,692.56

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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.