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Finding the Fourth Proportional to 114,770.63, 172,165.86 and 31,664.63

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Solution

The fourth proportional to 114,770.63, 172,165.86 and 31,664.63 is: 47,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,770.63 : 172,165.86 = 31,664.63 : x
  2. Step 2: Convert to fraction form
    114,770.63/172,165.86 = 31,664.63/x
  3. Step 3: Cross multiply
    114,770.63x = 172,165.86 × 31,664.63
  4. Step 4: Simplify right side
    114,770.63x = 5,451,567,394.70
  5. Step 5: Solve for x
    x = 5,451,567,394.70/114,770.63
  6. Step 6: Final answer
    x = 47,499.68

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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.