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Finding the Fourth Proportional to 35,414.48, 48,905.16 and 22,189.52

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Solution

The fourth proportional to 35,414.48, 48,905.16 and 22,189.52 is: 30,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414.48 : 48,905.16 = 22,189.52 : x
  2. Step 2: Convert to fraction form
    35,414.48/48,905.16 = 22,189.52/x
  3. Step 3: Cross multiply
    35,414.48x = 48,905.16 × 22,189.52
  4. Step 4: Simplify right side
    35,414.48x = 1,085,182,025.92
  5. Step 5: Solve for x
    x = 1,085,182,025.92/35,414.48
  6. Step 6: Final answer
    x = 30,642.33

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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.