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Finding the Fourth Proportional to 46,478.68, 69,763.74 and 33,166.30

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Solution

The fourth proportional to 46,478.68, 69,763.74 and 33,166.30 is: 49,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,478.68 : 69,763.74 = 33,166.30 : x
  2. Step 2: Convert to fraction form
    46,478.68/69,763.74 = 33,166.30/x
  3. Step 3: Cross multiply
    46,478.68x = 69,763.74 × 33,166.30
  4. Step 4: Simplify right side
    46,478.68x = 2,313,805,129.96
  5. Step 5: Solve for x
    x = 2,313,805,129.96/46,478.68
  6. Step 6: Final answer
    x = 49,782.07

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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.