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Finding the Fourth Proportional to 35,927.27, 49,575.84 and 20,824.67

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Solution

The fourth proportional to 35,927.27, 49,575.84 and 20,824.67 is: 28,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,927.27 : 49,575.84 = 20,824.67 : x
  2. Step 2: Convert to fraction form
    35,927.27/49,575.84 = 20,824.67/x
  3. Step 3: Cross multiply
    35,927.27x = 49,575.84 × 20,824.67
  4. Step 4: Simplify right side
    35,927.27x = 1,032,400,260.09
  5. Step 5: Solve for x
    x = 1,032,400,260.09/35,927.27
  6. Step 6: Final answer
    x = 28,735.84

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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.