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Finding the Fourth Proportional to 46,409.24, 69,505.50 and 33,898.34

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Solution

The fourth proportional to 46,409.24, 69,505.50 and 33,898.34 is: 50,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,409.24 : 69,505.50 = 33,898.34 : x
  2. Step 2: Convert to fraction form
    46,409.24/69,505.50 = 33,898.34/x
  3. Step 3: Cross multiply
    46,409.24x = 69,505.50 × 33,898.34
  4. Step 4: Simplify right side
    46,409.24x = 2,356,121,070.87
  5. Step 5: Solve for x
    x = 2,356,121,070.87/46,409.24
  6. Step 6: Final answer
    x = 50,768.36

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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.