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Finding the Fourth Proportional to 110,654.76, 165,983.16 and 31,768.98

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Solution

The fourth proportional to 110,654.76, 165,983.16 and 31,768.98 is: 47,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,654.76 : 165,983.16 = 31,768.98 : x
  2. Step 2: Convert to fraction form
    110,654.76/165,983.16 = 31,768.98/x
  3. Step 3: Cross multiply
    110,654.76x = 165,983.16 × 31,768.98
  4. Step 4: Simplify right side
    110,654.76x = 5,273,115,690.38
  5. Step 5: Solve for x
    x = 5,273,115,690.38/110,654.76
  6. Step 6: Final answer
    x = 47,653.76

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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.