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Finding the Fourth Proportional to 52,090.24, 71,884.32 and 29,734.24

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Solution

The fourth proportional to 52,090.24, 71,884.32 and 29,734.24 is: 41,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090.24 : 71,884.32 = 29,734.24 : x
  2. Step 2: Convert to fraction form
    52,090.24/71,884.32 = 29,734.24/x
  3. Step 3: Cross multiply
    52,090.24x = 71,884.32 × 29,734.24
  4. Step 4: Simplify right side
    52,090.24x = 2,137,425,623.12
  5. Step 5: Solve for x
    x = 2,137,425,623.12/52,090.24
  6. Step 6: Final answer
    x = 41,033.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.