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Finding the Fourth Proportional to 54,910.90, 75,781.74 and 31,041.82

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Solution

The fourth proportional to 54,910.90, 75,781.74 and 31,041.82 is: 42,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,910.90 : 75,781.74 = 31,041.82 : x
  2. Step 2: Convert to fraction form
    54,910.90/75,781.74 = 31,041.82/x
  3. Step 3: Cross multiply
    54,910.90x = 75,781.74 × 31,041.82
  4. Step 4: Simplify right side
    54,910.90x = 2,352,403,132.37
  5. Step 5: Solve for x
    x = 2,352,403,132.37/54,910.90
  6. Step 6: Final answer
    x = 42,840.37

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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.