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Finding the Fourth Proportional to 29,976.09, 44,965.76 and 7,788.87

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Solution

The fourth proportional to 29,976.09, 44,965.76 and 7,788.87 is: 11,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976.09 : 44,965.76 = 7,788.87 : x
  2. Step 2: Convert to fraction form
    29,976.09/44,965.76 = 7,788.87/x
  3. Step 3: Cross multiply
    29,976.09x = 44,965.76 × 7,788.87
  4. Step 4: Simplify right side
    29,976.09x = 350,232,420.15
  5. Step 5: Solve for x
    x = 350,232,420.15/29,976.09
  6. Step 6: Final answer
    x = 11,683.73

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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.