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Finding the Fourth Proportional to 29,077, 43,621.14 and 9,355.84

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Solution

The fourth proportional to 29,077, 43,621.14 and 9,355.84 is: 14,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,077 : 43,621.14 = 9,355.84 : x
  2. Step 2: Convert to fraction form
    29,077/43,621.14 = 9,355.84/x
  3. Step 3: Cross multiply
    29,077x = 43,621.14 × 9,355.84
  4. Step 4: Simplify right side
    29,077x = 408,112,406.46
  5. Step 5: Solve for x
    x = 408,112,406.46/29,077
  6. Step 6: Final answer
    x = 14,035.57

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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.