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Finding the Fourth Proportional to 54,456.69, 75,137.03 and 31,782.72

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Solution

The fourth proportional to 54,456.69, 75,137.03 and 31,782.72 is: 43,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,456.69 : 75,137.03 = 31,782.72 : x
  2. Step 2: Convert to fraction form
    54,456.69/75,137.03 = 31,782.72/x
  3. Step 3: Cross multiply
    54,456.69x = 75,137.03 × 31,782.72
  4. Step 4: Simplify right side
    54,456.69x = 2,388,059,186.12
  5. Step 5: Solve for x
    x = 2,388,059,186.12/54,456.69
  6. Step 6: Final answer
    x = 43,852.45

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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.