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Finding the Fourth Proportional to 110,018.72, 165,041.97 and 31,132.97

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Solution

The fourth proportional to 110,018.72, 165,041.97 and 31,132.97 is: 46,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,018.72 : 165,041.97 = 31,132.97 : x
  2. Step 2: Convert to fraction form
    110,018.72/165,041.97 = 31,132.97/x
  3. Step 3: Cross multiply
    110,018.72x = 165,041.97 × 31,132.97
  4. Step 4: Simplify right side
    110,018.72x = 5,138,245,719.88
  5. Step 5: Solve for x
    x = 5,138,245,719.88/110,018.72
  6. Step 6: Final answer
    x = 46,703.38

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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.