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Finding the Fourth Proportional to 35,938.82, 49,597.08 and 20,023.25

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Solution

The fourth proportional to 35,938.82, 49,597.08 and 20,023.25 is: 27,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,938.82 : 49,597.08 = 20,023.25 : x
  2. Step 2: Convert to fraction form
    35,938.82/49,597.08 = 20,023.25/x
  3. Step 3: Cross multiply
    35,938.82x = 49,597.08 × 20,023.25
  4. Step 4: Simplify right side
    35,938.82x = 993,094,732.11
  5. Step 5: Solve for x
    x = 993,094,732.11/35,938.82
  6. Step 6: Final answer
    x = 27,632.93

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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.