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Finding the Fourth Proportional to 38,378, 57,570.26 and 10,676

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Solution

The fourth proportional to 38,378, 57,570.26 and 10,676 is: 16,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378 : 57,570.26 = 10,676 : x
  2. Step 2: Convert to fraction form
    38,378/57,570.26 = 10,676/x
  3. Step 3: Cross multiply
    38,378x = 57,570.26 × 10,676
  4. Step 4: Simplify right side
    38,378x = 614,620,095.76
  5. Step 5: Solve for x
    x = 614,620,095.76/38,378
  6. Step 6: Final answer
    x = 16,014.91

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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.