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Finding the Fourth Proportional to 39,730.22, 54,825 and 21,825.98

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Solution

The fourth proportional to 39,730.22, 54,825 and 21,825.98 is: 30,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,730.22 : 54,825 = 21,825.98 : x
  2. Step 2: Convert to fraction form
    39,730.22/54,825 = 21,825.98/x
  3. Step 3: Cross multiply
    39,730.22x = 54,825 × 21,825.98
  4. Step 4: Simplify right side
    39,730.22x = 1,196,609,353.50
  5. Step 5: Solve for x
    x = 1,196,609,353.50/39,730.22
  6. Step 6: Final answer
    x = 30,118.37

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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.