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Finding the Fourth Proportional to 32,933.44, 49,399.62 and 7,973.32

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Solution

The fourth proportional to 32,933.44, 49,399.62 and 7,973.32 is: 11,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,933.44 : 49,399.62 = 7,973.32 : x
  2. Step 2: Convert to fraction form
    32,933.44/49,399.62 = 7,973.32/x
  3. Step 3: Cross multiply
    32,933.44x = 49,399.62 × 7,973.32
  4. Step 4: Simplify right side
    32,933.44x = 393,878,978.14
  5. Step 5: Solve for x
    x = 393,878,978.14/32,933.44
  6. Step 6: Final answer
    x = 11,959.85

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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.