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Finding the Fourth Proportional to 35,633.96, 49,180.06 and 20,523.68

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Solution

The fourth proportional to 35,633.96, 49,180.06 and 20,523.68 is: 28,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,633.96 : 49,180.06 = 20,523.68 : x
  2. Step 2: Convert to fraction form
    35,633.96/49,180.06 = 20,523.68/x
  3. Step 3: Cross multiply
    35,633.96x = 49,180.06 × 20,523.68
  4. Step 4: Simplify right side
    35,633.96x = 1,009,355,813.82
  5. Step 5: Solve for x
    x = 1,009,355,813.82/35,633.96
  6. Step 6: Final answer
    x = 28,325.67

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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.