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Finding the Fourth Proportional to 46,565.69, 64,233.41 and 33,804

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Solution

The fourth proportional to 46,565.69, 64,233.41 and 33,804 is: 46,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,565.69 : 64,233.41 = 33,804 : x
  2. Step 2: Convert to fraction form
    46,565.69/64,233.41 = 33,804/x
  3. Step 3: Cross multiply
    46,565.69x = 64,233.41 × 33,804
  4. Step 4: Simplify right side
    46,565.69x = 2,171,346,022.62
  5. Step 5: Solve for x
    x = 2,171,346,022.62/46,565.69
  6. Step 6: Final answer
    x = 46,629.75

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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.