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Finding the Fourth Proportional to 27,970.76, 41,951.98 and 9,250.90

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Solution

The fourth proportional to 27,970.76, 41,951.98 and 9,250.90 is: 13,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.76 : 41,951.98 = 9,250.90 : x
  2. Step 2: Convert to fraction form
    27,970.76/41,951.98 = 9,250.90/x
  3. Step 3: Cross multiply
    27,970.76x = 41,951.98 × 9,250.90
  4. Step 4: Simplify right side
    27,970.76x = 388,093,679.75
  5. Step 5: Solve for x
    x = 388,093,679.75/27,970.76
  6. Step 6: Final answer
    x = 13,874.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.