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Finding the Fourth Proportional to 27,049.51, 40,538.89 and 19,578.22

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Solution

The fourth proportional to 27,049.51, 40,538.89 and 19,578.22 is: 29,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.51 : 40,538.89 = 19,578.22 : x
  2. Step 2: Convert to fraction form
    27,049.51/40,538.89 = 19,578.22/x
  3. Step 3: Cross multiply
    27,049.51x = 40,538.89 × 19,578.22
  4. Step 4: Simplify right side
    27,049.51x = 793,679,306.98
  5. Step 5: Solve for x
    x = 793,679,306.98/27,049.51
  6. Step 6: Final answer
    x = 29,341.73

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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.