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Finding the Fourth Proportional to 39,995.42, 55,195.98 and 24,085

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Solution

The fourth proportional to 39,995.42, 55,195.98 and 24,085 is: 33,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,995.42 : 55,195.98 = 24,085 : x
  2. Step 2: Convert to fraction form
    39,995.42/55,195.98 = 24,085/x
  3. Step 3: Cross multiply
    39,995.42x = 55,195.98 × 24,085
  4. Step 4: Simplify right side
    39,995.42x = 1,329,395,178.30
  5. Step 5: Solve for x
    x = 1,329,395,178.30/39,995.42
  6. Step 6: Final answer
    x = 33,238.69

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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.