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Finding the Fourth Proportional to 110,612.66, 165,943.56 and 31,720.82

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Solution

The fourth proportional to 110,612.66, 165,943.56 and 31,720.82 is: 47,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,612.66 : 165,943.56 = 31,720.82 : x
  2. Step 2: Convert to fraction form
    110,612.66/165,943.56 = 31,720.82/x
  3. Step 3: Cross multiply
    110,612.66x = 165,943.56 × 31,720.82
  4. Step 4: Simplify right side
    110,612.66x = 5,263,865,796.92
  5. Step 5: Solve for x
    x = 5,263,865,796.92/110,612.66
  6. Step 6: Final answer
    x = 47,588.28

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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.