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Finding the Fourth Proportional to 110,602.69, 165,904.65 and 27,496.69

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Solution

The fourth proportional to 110,602.69, 165,904.65 and 27,496.69 is: 41,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,602.69 : 165,904.65 = 27,496.69 : x
  2. Step 2: Convert to fraction form
    110,602.69/165,904.65 = 27,496.69/x
  3. Step 3: Cross multiply
    110,602.69x = 165,904.65 × 27,496.69
  4. Step 4: Simplify right side
    110,602.69x = 4,561,828,315.85
  5. Step 5: Solve for x
    x = 4,561,828,315.85/110,602.69
  6. Step 6: Final answer
    x = 41,245.19

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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.