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Finding the Fourth Proportional to 29,716.29, 44,574.37 and 7,529.60

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Solution

The fourth proportional to 29,716.29, 44,574.37 and 7,529.60 is: 11,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,716.29 : 44,574.37 = 7,529.60 : x
  2. Step 2: Convert to fraction form
    29,716.29/44,574.37 = 7,529.60/x
  3. Step 3: Cross multiply
    29,716.29x = 44,574.37 × 7,529.60
  4. Step 4: Simplify right side
    29,716.29x = 335,627,268.96
  5. Step 5: Solve for x
    x = 335,627,268.96/29,716.29
  6. Step 6: Final answer
    x = 11,294.39

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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.