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Finding the Fourth Proportional to 54,774.50, 75,592.26 and 30,892.46

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Solution

The fourth proportional to 54,774.50, 75,592.26 and 30,892.46 is: 42,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,774.50 : 75,592.26 = 30,892.46 : x
  2. Step 2: Convert to fraction form
    54,774.50/75,592.26 = 30,892.46/x
  3. Step 3: Cross multiply
    54,774.50x = 75,592.26 × 30,892.46
  4. Step 4: Simplify right side
    54,774.50x = 2,335,230,490.40
  5. Step 5: Solve for x
    x = 2,335,230,490.40/54,774.50
  6. Step 6: Final answer
    x = 42,633.54

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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.