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Finding the Fourth Proportional to 110,651.88, 165,977.91 and 47,430.97

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Solution

The fourth proportional to 110,651.88, 165,977.91 and 47,430.97 is: 71,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,651.88 : 165,977.91 = 47,430.97 : x
  2. Step 2: Convert to fraction form
    110,651.88/165,977.91 = 47,430.97/x
  3. Step 3: Cross multiply
    110,651.88x = 165,977.91 × 47,430.97
  4. Step 4: Simplify right side
    110,651.88x = 7,872,493,269.87
  5. Step 5: Solve for x
    x = 7,872,493,269.87/110,651.88
  6. Step 6: Final answer
    x = 71,146.49

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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.