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Finding the Fourth Proportional to 47,755.88, 71,633.82 and 14,923.88

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Solution

The fourth proportional to 47,755.88, 71,633.82 and 14,923.88 is: 22,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755.88 : 71,633.82 = 14,923.88 : x
  2. Step 2: Convert to fraction form
    47,755.88/71,633.82 = 14,923.88/x
  3. Step 3: Cross multiply
    47,755.88x = 71,633.82 × 14,923.88
  4. Step 4: Simplify right side
    47,755.88x = 1,069,054,175.45
  5. Step 5: Solve for x
    x = 1,069,054,175.45/47,755.88
  6. Step 6: Final answer
    x = 22,385.81

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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.