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Finding the Fourth Proportional to 110,584.32, 165,876.47 and 27,478.32

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Solution

The fourth proportional to 110,584.32, 165,876.47 and 27,478.32 is: 41,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,584.32 : 165,876.47 = 27,478.32 : x
  2. Step 2: Convert to fraction form
    110,584.32/165,876.47 = 27,478.32/x
  3. Step 3: Cross multiply
    110,584.32x = 165,876.47 × 27,478.32
  4. Step 4: Simplify right side
    110,584.32x = 4,558,006,585.74
  5. Step 5: Solve for x
    x = 4,558,006,585.74/110,584.32
  6. Step 6: Final answer
    x = 41,217.48

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1.5x scale

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.