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Finding the Fourth Proportional to 42,067.88, 58,052.75 and 23,205.00

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Solution

The fourth proportional to 42,067.88, 58,052.75 and 23,205.00 is: 32,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,067.88 : 58,052.75 = 23,205.00 : x
  2. Step 2: Convert to fraction form
    42,067.88/58,052.75 = 23,205.00/x
  3. Step 3: Cross multiply
    42,067.88x = 58,052.75 × 23,205.00
  4. Step 4: Simplify right side
    42,067.88x = 1,347,114,165.42
  5. Step 5: Solve for x
    x = 1,347,114,165.42/42,067.88
  6. Step 6: Final answer
    x = 32,022.39

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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.