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Finding the Fourth Proportional to 52,090.42, 71,880.51 and 29,431.38

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Solution

The fourth proportional to 52,090.42, 71,880.51 and 29,431.38 is: 40,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090.42 : 71,880.51 = 29,431.38 : x
  2. Step 2: Convert to fraction form
    52,090.42/71,880.51 = 29,431.38/x
  3. Step 3: Cross multiply
    52,090.42x = 71,880.51 × 29,431.38
  4. Step 4: Simplify right side
    52,090.42x = 2,115,542,604.40
  5. Step 5: Solve for x
    x = 2,115,542,604.40/52,090.42
  6. Step 6: Final answer
    x = 40,612.89

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Why These Related Problems?

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