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Finding the Fourth Proportional to 54,095.69, 74,651.54 and 30,226.47

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Solution

The fourth proportional to 54,095.69, 74,651.54 and 30,226.47 is: 41,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,095.69 : 74,651.54 = 30,226.47 : x
  2. Step 2: Convert to fraction form
    54,095.69/74,651.54 = 30,226.47/x
  3. Step 3: Cross multiply
    54,095.69x = 74,651.54 × 30,226.47
  4. Step 4: Simplify right side
    54,095.69x = 2,256,452,383.13
  5. Step 5: Solve for x
    x = 2,256,452,383.13/54,095.69
  6. Step 6: Final answer
    x = 41,712.24

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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.