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Finding the Fourth Proportional to 29,484.50, 44,226.75 and 7,596.50

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Solution

The fourth proportional to 29,484.50, 44,226.75 and 7,596.50 is: 11,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,484.50 : 44,226.75 = 7,596.50 : x
  2. Step 2: Convert to fraction form
    29,484.50/44,226.75 = 7,596.50/x
  3. Step 3: Cross multiply
    29,484.50x = 44,226.75 × 7,596.50
  4. Step 4: Simplify right side
    29,484.50x = 335,968,506.38
  5. Step 5: Solve for x
    x = 335,968,506.38/29,484.50
  6. Step 6: Final answer
    x = 11,394.75

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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.