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Finding the Fourth Proportional to 20,049.70, 30,058.53 and 9,514.42

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Solution

The fourth proportional to 20,049.70, 30,058.53 and 9,514.42 is: 14,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.70 : 30,058.53 = 9,514.42 : x
  2. Step 2: Convert to fraction form
    20,049.70/30,058.53 = 9,514.42/x
  3. Step 3: Cross multiply
    20,049.70x = 30,058.53 × 9,514.42
  4. Step 4: Simplify right side
    20,049.70x = 285,989,479.00
  5. Step 5: Solve for x
    x = 285,989,479.00/20,049.70
  6. Step 6: Final answer
    x = 14,264.03

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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.