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Finding the Fourth Proportional to 35,586, 49,113 and 20,682

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Solution

The fourth proportional to 35,586, 49,113 and 20,682 is: 28,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,586 : 49,113 = 20,682 : x
  2. Step 2: Convert to fraction form
    35,586/49,113 = 20,682/x
  3. Step 3: Cross multiply
    35,586x = 49,113 × 20,682
  4. Step 4: Simplify right side
    35,586x = 1,015,755,066
  5. Step 5: Solve for x
    x = 1,015,755,066/35,586
  6. Step 6: Final answer
    x = 28,543.67

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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.