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Finding the Fourth Proportional to 35,938.40, 49,597.08 and 20,022.32

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Solution

The fourth proportional to 35,938.40, 49,597.08 and 20,022.32 is: 27,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,938.40 : 49,597.08 = 20,022.32 : x
  2. Step 2: Convert to fraction form
    35,938.40/49,597.08 = 20,022.32/x
  3. Step 3: Cross multiply
    35,938.40x = 49,597.08 × 20,022.32
  4. Step 4: Simplify right side
    35,938.40x = 993,048,606.83
  5. Step 5: Solve for x
    x = 993,048,606.83/35,938.40
  6. Step 6: Final answer
    x = 27,631.96

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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.