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Finding the Fourth Proportional to 110,093.80, 165,108.28 and 31,214.92

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Solution

The fourth proportional to 110,093.80, 165,108.28 and 31,214.92 is: 46,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,093.80 : 165,108.28 = 31,214.92 : x
  2. Step 2: Convert to fraction form
    110,093.80/165,108.28 = 31,214.92/x
  3. Step 3: Cross multiply
    110,093.80x = 165,108.28 × 31,214.92
  4. Step 4: Simplify right side
    110,093.80x = 5,153,841,751.54
  5. Step 5: Solve for x
    x = 5,153,841,751.54/110,093.80
  6. Step 6: Final answer
    x = 46,813.19

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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.