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Finding the Fourth Proportional to 46,409.40, 69,614.10 and 33,384.60

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Solution

The fourth proportional to 46,409.40, 69,614.10 and 33,384.60 is: 50,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,409.40 : 69,614.10 = 33,384.60 : x
  2. Step 2: Convert to fraction form
    46,409.40/69,614.10 = 33,384.60/x
  3. Step 3: Cross multiply
    46,409.40x = 69,614.10 × 33,384.60
  4. Step 4: Simplify right side
    46,409.40x = 2,324,038,882.86
  5. Step 5: Solve for x
    x = 2,324,038,882.86/46,409.40
  6. Step 6: Final answer
    x = 50,076.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.