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Finding the Fourth Proportional to 29,478.24, 44,211.60 and 8,696.16

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Solution

The fourth proportional to 29,478.24, 44,211.60 and 8,696.16 is: 13,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,478.24 : 44,211.60 = 8,696.16 : x
  2. Step 2: Convert to fraction form
    29,478.24/44,211.60 = 8,696.16/x
  3. Step 3: Cross multiply
    29,478.24x = 44,211.60 × 8,696.16
  4. Step 4: Simplify right side
    29,478.24x = 384,471,147.46
  5. Step 5: Solve for x
    x = 384,471,147.46/29,478.24
  6. Step 6: Final answer
    x = 13,042.54

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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.