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Finding the Fourth Proportional to 54,627.96, 75,388.01 and 30,755.50

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Solution

The fourth proportional to 54,627.96, 75,388.01 and 30,755.50 is: 42,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,627.96 : 75,388.01 = 30,755.50 : x
  2. Step 2: Convert to fraction form
    54,627.96/75,388.01 = 30,755.50/x
  3. Step 3: Cross multiply
    54,627.96x = 75,388.01 × 30,755.50
  4. Step 4: Simplify right side
    54,627.96x = 2,318,595,599.31
  5. Step 5: Solve for x
    x = 2,318,595,599.31/54,627.96
  6. Step 6: Final answer
    x = 42,443.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.