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Finding the Fourth Proportional to 32,053.14, 44,224.56 and 21,984.06

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Solution

The fourth proportional to 32,053.14, 44,224.56 and 21,984.06 is: 30,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.14 : 44,224.56 = 21,984.06 : x
  2. Step 2: Convert to fraction form
    32,053.14/44,224.56 = 21,984.06/x
  3. Step 3: Cross multiply
    32,053.14x = 44,224.56 × 21,984.06
  4. Step 4: Simplify right side
    32,053.14x = 972,235,380.51
  5. Step 5: Solve for x
    x = 972,235,380.51/32,053.14
  6. Step 6: Final answer
    x = 30,331.99

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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.