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Finding the Fourth Proportional to 75,370.40, 113,029.17 and 30,378.34

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Solution

The fourth proportional to 75,370.40, 113,029.17 and 30,378.34 is: 45,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,370.40 : 113,029.17 = 30,378.34 : x
  2. Step 2: Convert to fraction form
    75,370.40/113,029.17 = 30,378.34/x
  3. Step 3: Cross multiply
    75,370.40x = 113,029.17 × 30,378.34
  4. Step 4: Simplify right side
    75,370.40x = 3,433,638,754.42
  5. Step 5: Solve for x
    x = 3,433,638,754.42/75,370.40
  6. Step 6: Final answer
    x = 45,556.86

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