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Finding the Fourth Proportional to 46,284, 69,429.24 and 18,582

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Solution

The fourth proportional to 46,284, 69,429.24 and 18,582 is: 27,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284 : 69,429.24 = 18,582 : x
  2. Step 2: Convert to fraction form
    46,284/69,429.24 = 18,582/x
  3. Step 3: Cross multiply
    46,284x = 69,429.24 × 18,582
  4. Step 4: Simplify right side
    46,284x = 1,290,134,137.68
  5. Step 5: Solve for x
    x = 1,290,134,137.68/46,284
  6. Step 6: Final answer
    x = 27,874.30

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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.