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Finding the Fourth Proportional to 38,089.85, 52,578.11 and 22,983.15

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Solution

The fourth proportional to 38,089.85, 52,578.11 and 22,983.15 is: 31,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,089.85 : 52,578.11 = 22,983.15 : x
  2. Step 2: Convert to fraction form
    38,089.85/52,578.11 = 22,983.15/x
  3. Step 3: Cross multiply
    38,089.85x = 52,578.11 × 22,983.15
  4. Step 4: Simplify right side
    38,089.85x = 1,208,410,473.93
  5. Step 5: Solve for x
    x = 1,208,410,473.93/38,089.85
  6. Step 6: Final answer
    x = 31,725.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.