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Finding the Fourth Proportional to 35,892, 49,530.96 and 20,988

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Solution

The fourth proportional to 35,892, 49,530.96 and 20,988 is: 28,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,892 : 49,530.96 = 20,988 : x
  2. Step 2: Convert to fraction form
    35,892/49,530.96 = 20,988/x
  3. Step 3: Cross multiply
    35,892x = 49,530.96 × 20,988
  4. Step 4: Simplify right side
    35,892x = 1,039,555,788.48
  5. Step 5: Solve for x
    x = 1,039,555,788.48/35,892
  6. Step 6: Final answer
    x = 28,963.44

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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.