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Finding the Fourth Proportional to 110,584.71, 165,877.02 and 27,478.71

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Solution

The fourth proportional to 110,584.71, 165,877.02 and 27,478.71 is: 41,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,584.71 : 165,877.02 = 27,478.71 : x
  2. Step 2: Convert to fraction form
    110,584.71/165,877.02 = 27,478.71/x
  3. Step 3: Cross multiply
    110,584.71x = 165,877.02 × 27,478.71
  4. Step 4: Simplify right side
    110,584.71x = 4,558,086,528.24
  5. Step 5: Solve for x
    x = 4,558,086,528.24/110,584.71
  6. Step 6: Final answer
    x = 41,218.05

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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.