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Finding the Fourth Proportional to 29,919.76, 44,879.50 and 7,731.25

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Solution

The fourth proportional to 29,919.76, 44,879.50 and 7,731.25 is: 11,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,919.76 : 44,879.50 = 7,731.25 : x
  2. Step 2: Convert to fraction form
    29,919.76/44,879.50 = 7,731.25/x
  3. Step 3: Cross multiply
    29,919.76x = 44,879.50 × 7,731.25
  4. Step 4: Simplify right side
    29,919.76x = 346,974,531.84
  5. Step 5: Solve for x
    x = 346,974,531.84/29,919.76
  6. Step 6: Final answer
    x = 11,596.84

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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.