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Finding the Fourth Proportional to 29,652.91, 44,477.75 and 7,466.24

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Solution

The fourth proportional to 29,652.91, 44,477.75 and 7,466.24 is: 11,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,652.91 : 44,477.75 = 7,466.24 : x
  2. Step 2: Convert to fraction form
    29,652.91/44,477.75 = 7,466.24/x
  3. Step 3: Cross multiply
    29,652.91x = 44,477.75 × 7,466.24
  4. Step 4: Simplify right side
    29,652.91x = 332,081,686.02
  5. Step 5: Solve for x
    x = 332,081,686.02/29,652.91
  6. Step 6: Final answer
    x = 11,198.96

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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.