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Finding the Fourth Proportional to 29,840.78, 44,761.19 and 7,654.16

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Solution

The fourth proportional to 29,840.78, 44,761.19 and 7,654.16 is: 11,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840.78 : 44,761.19 = 7,654.16 : x
  2. Step 2: Convert to fraction form
    29,840.78/44,761.19 = 7,654.16/x
  3. Step 3: Cross multiply
    29,840.78x = 44,761.19 × 7,654.16
  4. Step 4: Simplify right side
    29,840.78x = 342,609,047.97
  5. Step 5: Solve for x
    x = 342,609,047.97/29,840.78
  6. Step 6: Final answer
    x = 11,481.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.