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Finding the Fourth Proportional to 46,675.80, 69,992.64 and 13,388.31

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Solution

The fourth proportional to 46,675.80, 69,992.64 and 13,388.31 is: 20,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,675.80 : 69,992.64 = 13,388.31 : x
  2. Step 2: Convert to fraction form
    46,675.80/69,992.64 = 13,388.31/x
  3. Step 3: Cross multiply
    46,675.80x = 69,992.64 × 13,388.31
  4. Step 4: Simplify right side
    46,675.80x = 937,083,162.04
  5. Step 5: Solve for x
    x = 937,083,162.04/46,675.80
  6. Step 6: Final answer
    x = 20,076.42

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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.