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Finding the Fourth Proportional to 35,643.67, 49,183.94 and 20,541.22

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Solution

The fourth proportional to 35,643.67, 49,183.94 and 20,541.22 is: 28,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.67 : 49,183.94 = 20,541.22 : x
  2. Step 2: Convert to fraction form
    35,643.67/49,183.94 = 20,541.22/x
  3. Step 3: Cross multiply
    35,643.67x = 49,183.94 × 20,541.22
  4. Step 4: Simplify right side
    35,643.67x = 1,010,298,060.40
  5. Step 5: Solve for x
    x = 1,010,298,060.40/35,643.67
  6. Step 6: Final answer
    x = 28,344.39

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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.