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Finding the Fourth Proportional to 27,671, 41,506.88 and 9,203

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Solution

The fourth proportional to 27,671, 41,506.88 and 9,203 is: 13,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671 : 41,506.88 = 9,203 : x
  2. Step 2: Convert to fraction form
    27,671/41,506.88 = 9,203/x
  3. Step 3: Cross multiply
    27,671x = 41,506.88 × 9,203
  4. Step 4: Simplify right side
    27,671x = 381,987,816.64
  5. Step 5: Solve for x
    x = 381,987,816.64/27,671
  6. Step 6: Final answer
    x = 13,804.63

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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.