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Finding the Fourth Proportional to 39,984.22, 55,178.34 and 21,835

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Solution

The fourth proportional to 39,984.22, 55,178.34 and 21,835 is: 30,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,984.22 : 55,178.34 = 21,835 : x
  2. Step 2: Convert to fraction form
    39,984.22/55,178.34 = 21,835/x
  3. Step 3: Cross multiply
    39,984.22x = 55,178.34 × 21,835
  4. Step 4: Simplify right side
    39,984.22x = 1,204,819,053.90
  5. Step 5: Solve for x
    x = 1,204,819,053.90/39,984.22
  6. Step 6: Final answer
    x = 30,132.36

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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.