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Finding the Fourth Proportional to 110,615.92, 165,924.42 and 27,509.92

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Solution

The fourth proportional to 110,615.92, 165,924.42 and 27,509.92 is: 41,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,615.92 : 165,924.42 = 27,509.92 : x
  2. Step 2: Convert to fraction form
    110,615.92/165,924.42 = 27,509.92/x
  3. Step 3: Cross multiply
    110,615.92x = 165,924.42 × 27,509.92
  4. Step 4: Simplify right side
    110,615.92x = 4,564,567,520.25
  5. Step 5: Solve for x
    x = 4,564,567,520.25/110,615.92
  6. Step 6: Final answer
    x = 41,265.01

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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.