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Finding the Fourth Proportional to 46,081.80, 69,105.42 and 19,773

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Solution

The fourth proportional to 46,081.80, 69,105.42 and 19,773 is: 29,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,081.80 : 69,105.42 = 19,773 : x
  2. Step 2: Convert to fraction form
    46,081.80/69,105.42 = 19,773/x
  3. Step 3: Cross multiply
    46,081.80x = 69,105.42 × 19,773
  4. Step 4: Simplify right side
    46,081.80x = 1,366,421,469.66
  5. Step 5: Solve for x
    x = 1,366,421,469.66/46,081.80
  6. Step 6: Final answer
    x = 29,652.09

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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.