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Finding the Fourth Proportional to 42,165.99, 58,198.77 and 24,271.38

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Solution

The fourth proportional to 42,165.99, 58,198.77 and 24,271.38 is: 33,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,165.99 : 58,198.77 = 24,271.38 : x
  2. Step 2: Convert to fraction form
    42,165.99/58,198.77 = 24,271.38/x
  3. Step 3: Cross multiply
    42,165.99x = 58,198.77 × 24,271.38
  4. Step 4: Simplify right side
    42,165.99x = 1,412,564,462.20
  5. Step 5: Solve for x
    x = 1,412,564,462.20/42,165.99
  6. Step 6: Final answer
    x = 33,500.09

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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.