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Finding the Fourth Proportional to 29,090.81, 43,636.22 and 8,314.31

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Solution

The fourth proportional to 29,090.81, 43,636.22 and 8,314.31 is: 12,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,090.81 : 43,636.22 = 8,314.31 : x
  2. Step 2: Convert to fraction form
    29,090.81/43,636.22 = 8,314.31/x
  3. Step 3: Cross multiply
    29,090.81x = 43,636.22 × 8,314.31
  4. Step 4: Simplify right side
    29,090.81x = 362,805,159.01
  5. Step 5: Solve for x
    x = 362,805,159.01/29,090.81
  6. Step 6: Final answer
    x = 12,471.47

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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.