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Finding the Fourth Proportional to 46,082.56, 69,123.72 and 18,400

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Solution

The fourth proportional to 46,082.56, 69,123.72 and 18,400 is: 27,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,082.56 : 69,123.72 = 18,400 : x
  2. Step 2: Convert to fraction form
    46,082.56/69,123.72 = 18,400/x
  3. Step 3: Cross multiply
    46,082.56x = 69,123.72 × 18,400
  4. Step 4: Simplify right side
    46,082.56x = 1,271,876,448
  5. Step 5: Solve for x
    x = 1,271,876,448/46,082.56
  6. Step 6: Final answer
    x = 27,599.95

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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.