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Finding the Fourth Proportional to 29,531.63, 44,303.15 and 9,546.50

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Solution

The fourth proportional to 29,531.63, 44,303.15 and 9,546.50 is: 14,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531.63 : 44,303.15 = 9,546.50 : x
  2. Step 2: Convert to fraction form
    29,531.63/44,303.15 = 9,546.50/x
  3. Step 3: Cross multiply
    29,531.63x = 44,303.15 × 9,546.50
  4. Step 4: Simplify right side
    29,531.63x = 422,940,021.48
  5. Step 5: Solve for x
    x = 422,940,021.48/29,531.63
  6. Step 6: Final answer
    x = 14,321.59

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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.