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Finding the Fourth Proportional to 54,861, 75,750.96 and 42,093.90

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Solution

The fourth proportional to 54,861, 75,750.96 and 42,093.90 is: 58,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,861 : 75,750.96 = 42,093.90 : x
  2. Step 2: Convert to fraction form
    54,861/75,750.96 = 42,093.90/x
  3. Step 3: Cross multiply
    54,861x = 75,750.96 × 42,093.90
  4. Step 4: Simplify right side
    54,861x = 3,188,653,335.14
  5. Step 5: Solve for x
    x = 3,188,653,335.14/54,861
  6. Step 6: Final answer
    x = 58,122.41

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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.