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Finding the Fourth Proportional to 35,141.28, 48,495.12 and 19,226

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Solution

The fourth proportional to 35,141.28, 48,495.12 and 19,226 is: 26,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,141.28 : 48,495.12 = 19,226 : x
  2. Step 2: Convert to fraction form
    35,141.28/48,495.12 = 19,226/x
  3. Step 3: Cross multiply
    35,141.28x = 48,495.12 × 19,226
  4. Step 4: Simplify right side
    35,141.28x = 932,367,177.12
  5. Step 5: Solve for x
    x = 932,367,177.12/35,141.28
  6. Step 6: Final answer
    x = 26,531.96

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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.