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Finding the Fourth Proportional to 30,082.41, 41,512.38 and 16,652.72

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Solution

The fourth proportional to 30,082.41, 41,512.38 and 16,652.72 is: 22,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.41 : 41,512.38 = 16,652.72 : x
  2. Step 2: Convert to fraction form
    30,082.41/41,512.38 = 16,652.72/x
  3. Step 3: Cross multiply
    30,082.41x = 41,512.38 × 16,652.72
  4. Step 4: Simplify right side
    30,082.41x = 691,294,040.67
  5. Step 5: Solve for x
    x = 691,294,040.67/30,082.41
  6. Step 6: Final answer
    x = 22,980.01

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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.