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Finding the Fourth Proportional to 46,906.37, 64,740.83 and 29,906.69

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Solution

The fourth proportional to 46,906.37, 64,740.83 and 29,906.69 is: 41,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,906.37 : 64,740.83 = 29,906.69 : x
  2. Step 2: Convert to fraction form
    46,906.37/64,740.83 = 29,906.69/x
  3. Step 3: Cross multiply
    46,906.37x = 64,740.83 × 29,906.69
  4. Step 4: Simplify right side
    46,906.37x = 1,936,183,945.47
  5. Step 5: Solve for x
    x = 1,936,183,945.47/46,906.37
  6. Step 6: Final answer
    x = 41,277.64

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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.