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Finding the Fourth Proportional to 39,235.76, 54,140.64 and 22,242

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Solution

The fourth proportional to 39,235.76, 54,140.64 and 22,242 is: 30,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,235.76 : 54,140.64 = 22,242 : x
  2. Step 2: Convert to fraction form
    39,235.76/54,140.64 = 22,242/x
  3. Step 3: Cross multiply
    39,235.76x = 54,140.64 × 22,242
  4. Step 4: Simplify right side
    39,235.76x = 1,204,196,114.88
  5. Step 5: Solve for x
    x = 1,204,196,114.88/39,235.76
  6. Step 6: Final answer
    x = 30,691.29

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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.