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Finding the Fourth Proportional to 75,352.98, 113,023.98 and 30,377.32

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Solution

The fourth proportional to 75,352.98, 113,023.98 and 30,377.32 is: 45,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,352.98 : 113,023.98 = 30,377.32 : x
  2. Step 2: Convert to fraction form
    75,352.98/113,023.98 = 30,377.32/x
  3. Step 3: Cross multiply
    75,352.98x = 113,023.98 × 30,377.32
  4. Step 4: Simplify right side
    75,352.98x = 3,433,365,608.13
  5. Step 5: Solve for x
    x = 3,433,365,608.13/75,352.98
  6. Step 6: Final answer
    x = 45,563.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.