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Finding the Fourth Proportional to 27,157.26, 40,739.52 and 11,578.52

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Solution

The fourth proportional to 27,157.26, 40,739.52 and 11,578.52 is: 17,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157.26 : 40,739.52 = 11,578.52 : x
  2. Step 2: Convert to fraction form
    27,157.26/40,739.52 = 11,578.52/x
  3. Step 3: Cross multiply
    27,157.26x = 40,739.52 × 11,578.52
  4. Step 4: Simplify right side
    27,157.26x = 471,703,347.11
  5. Step 5: Solve for x
    x = 471,703,347.11/27,157.26
  6. Step 6: Final answer
    x = 17,369.33

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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.