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Finding the Fourth Proportional to 29,705.84, 44,558.75 and 7,519.33

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Solution

The fourth proportional to 29,705.84, 44,558.75 and 7,519.33 is: 11,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.84 : 44,558.75 = 7,519.33 : x
  2. Step 2: Convert to fraction form
    29,705.84/44,558.75 = 7,519.33/x
  3. Step 3: Cross multiply
    29,705.84x = 44,558.75 × 7,519.33
  4. Step 4: Simplify right side
    29,705.84x = 335,051,945.64
  5. Step 5: Solve for x
    x = 335,051,945.64/29,705.84
  6. Step 6: Final answer
    x = 11,278.99

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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.