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Finding the Fourth Proportional to 35,813.70, 49,417.41 and 20,703.42

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Solution

The fourth proportional to 35,813.70, 49,417.41 and 20,703.42 is: 28,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813.70 : 49,417.41 = 20,703.42 : x
  2. Step 2: Convert to fraction form
    35,813.70/49,417.41 = 20,703.42/x
  3. Step 3: Cross multiply
    35,813.70x = 49,417.41 × 20,703.42
  4. Step 4: Simplify right side
    35,813.70x = 1,023,109,394.54
  5. Step 5: Solve for x
    x = 1,023,109,394.54/35,813.70
  6. Step 6: Final answer
    x = 28,567.54

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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.