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Finding the Fourth Proportional to 27,670.47, 41,505.99 and 7,948.98

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Solution

The fourth proportional to 27,670.47, 41,505.99 and 7,948.98 is: 11,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.47 : 41,505.99 = 7,948.98 : x
  2. Step 2: Convert to fraction form
    27,670.47/41,505.99 = 7,948.98/x
  3. Step 3: Cross multiply
    27,670.47x = 41,505.99 × 7,948.98
  4. Step 4: Simplify right side
    27,670.47x = 329,930,284.39
  5. Step 5: Solve for x
    x = 329,930,284.39/27,670.47
  6. Step 6: Final answer
    x = 11,923.55

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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.