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Finding the Fourth Proportional to 110,622.28, 165,934.02 and 27,516.28

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Solution

The fourth proportional to 110,622.28, 165,934.02 and 27,516.28 is: 41,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,622.28 : 165,934.02 = 27,516.28 : x
  2. Step 2: Convert to fraction form
    110,622.28/165,934.02 = 27,516.28/x
  3. Step 3: Cross multiply
    110,622.28x = 165,934.02 × 27,516.28
  4. Step 4: Simplify right side
    110,622.28x = 4,565,886,955.85
  5. Step 5: Solve for x
    x = 4,565,886,955.85/110,622.28
  6. Step 6: Final answer
    x = 41,274.57

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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.