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Finding the Fourth Proportional to 54,876.24, 75,724.74 and 31,005

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Solution

The fourth proportional to 54,876.24, 75,724.74 and 31,005 is: 42,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876.24 : 75,724.74 = 31,005 : x
  2. Step 2: Convert to fraction form
    54,876.24/75,724.74 = 31,005/x
  3. Step 3: Cross multiply
    54,876.24x = 75,724.74 × 31,005
  4. Step 4: Simplify right side
    54,876.24x = 2,347,845,563.70
  5. Step 5: Solve for x
    x = 2,347,845,563.70/54,876.24
  6. Step 6: Final answer
    x = 42,784.37

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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.