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Finding the Fourth Proportional to 30,691.09, 42,377.53 and 23,965.05

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Solution

The fourth proportional to 30,691.09, 42,377.53 and 23,965.05 is: 33,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.09 : 42,377.53 = 23,965.05 : x
  2. Step 2: Convert to fraction form
    30,691.09/42,377.53 = 23,965.05/x
  3. Step 3: Cross multiply
    30,691.09x = 42,377.53 × 23,965.05
  4. Step 4: Simplify right side
    30,691.09x = 1,015,579,625.33
  5. Step 5: Solve for x
    x = 1,015,579,625.33/30,691.09
  6. Step 6: Final answer
    x = 33,090.38

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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.