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Finding the Fourth Proportional to 110,383.83, 165,603.69 and 31,498.35

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Solution

The fourth proportional to 110,383.83, 165,603.69 and 31,498.35 is: 47,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,383.83 : 165,603.69 = 31,498.35 : x
  2. Step 2: Convert to fraction form
    110,383.83/165,603.69 = 31,498.35/x
  3. Step 3: Cross multiply
    110,383.83x = 165,603.69 × 31,498.35
  4. Step 4: Simplify right side
    110,383.83x = 5,216,242,988.91
  5. Step 5: Solve for x
    x = 5,216,242,988.91/110,383.83
  6. Step 6: Final answer
    x = 47,255.50

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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.