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Finding the Fourth Proportional to 38,195.83, 52,661.73 and 27,307

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Solution

The fourth proportional to 38,195.83, 52,661.73 and 27,307 is: 37,648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195.83 : 52,661.73 = 27,307 : x
  2. Step 2: Convert to fraction form
    38,195.83/52,661.73 = 27,307/x
  3. Step 3: Cross multiply
    38,195.83x = 52,661.73 × 27,307
  4. Step 4: Simplify right side
    38,195.83x = 1,438,033,861.11
  5. Step 5: Solve for x
    x = 1,438,033,861.11/38,195.83
  6. Step 6: Final answer
    x = 37,648.98

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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.