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Finding the Fourth Proportional to 53,669.28, 74,097 and 50,322

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Solution

The fourth proportional to 53,669.28, 74,097 and 50,322 is: 69,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,669.28 : 74,097 = 50,322 : x
  2. Step 2: Convert to fraction form
    53,669.28/74,097 = 50,322/x
  3. Step 3: Cross multiply
    53,669.28x = 74,097 × 50,322
  4. Step 4: Simplify right side
    53,669.28x = 3,728,709,234
  5. Step 5: Solve for x
    x = 3,728,709,234/53,669.28
  6. Step 6: Final answer
    x = 69,475.67

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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.