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Finding the Fourth Proportional to 110,506.70, 165,760.05 and 27,400.70

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Solution

The fourth proportional to 110,506.70, 165,760.05 and 27,400.70 is: 41,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,506.70 : 165,760.05 = 27,400.70 : x
  2. Step 2: Convert to fraction form
    110,506.70/165,760.05 = 27,400.70/x
  3. Step 3: Cross multiply
    110,506.70x = 165,760.05 × 27,400.70
  4. Step 4: Simplify right side
    110,506.70x = 4,541,941,402.04
  5. Step 5: Solve for x
    x = 4,541,941,402.04/110,506.70
  6. Step 6: Final answer
    x = 41,101.05

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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.