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Finding the Fourth Proportional to 35,813.16, 49,418.37 and 20,703.42

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Solution

The fourth proportional to 35,813.16, 49,418.37 and 20,703.42 is: 28,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813.16 : 49,418.37 = 20,703.42 : x
  2. Step 2: Convert to fraction form
    35,813.16/49,418.37 = 20,703.42/x
  3. Step 3: Cross multiply
    35,813.16x = 49,418.37 × 20,703.42
  4. Step 4: Simplify right side
    35,813.16x = 1,023,129,269.83
  5. Step 5: Solve for x
    x = 1,023,129,269.83/35,813.16
  6. Step 6: Final answer
    x = 28,568.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.