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Finding the Fourth Proportional to 29,029.50, 43,546.50 and 9,036.48

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Solution

The fourth proportional to 29,029.50, 43,546.50 and 9,036.48 is: 13,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,029.50 : 43,546.50 = 9,036.48 : x
  2. Step 2: Convert to fraction form
    29,029.50/43,546.50 = 9,036.48/x
  3. Step 3: Cross multiply
    29,029.50x = 43,546.50 × 9,036.48
  4. Step 4: Simplify right side
    29,029.50x = 393,507,076.32
  5. Step 5: Solve for x
    x = 393,507,076.32/29,029.50
  6. Step 6: Final answer
    x = 13,555.42

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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.