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Finding the Fourth Proportional to 30,082.64, 41,488.86 and 22,546.66

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Solution

The fourth proportional to 30,082.64, 41,488.86 and 22,546.66 is: 31,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.64 : 41,488.86 = 22,546.66 : x
  2. Step 2: Convert to fraction form
    30,082.64/41,488.86 = 22,546.66/x
  3. Step 3: Cross multiply
    30,082.64x = 41,488.86 × 22,546.66
  4. Step 4: Simplify right side
    30,082.64x = 935,435,220.21
  5. Step 5: Solve for x
    x = 935,435,220.21/30,082.64
  6. Step 6: Final answer
    x = 31,095.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.