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Finding the Fourth Proportional to 46,176, 69,267.24 and 18,474

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Solution

The fourth proportional to 46,176, 69,267.24 and 18,474 is: 27,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,176 : 69,267.24 = 18,474 : x
  2. Step 2: Convert to fraction form
    46,176/69,267.24 = 18,474/x
  3. Step 3: Cross multiply
    46,176x = 69,267.24 × 18,474
  4. Step 4: Simplify right side
    46,176x = 1,279,642,991.76
  5. Step 5: Solve for x
    x = 1,279,642,991.76/46,176
  6. Step 6: Final answer
    x = 27,712.30

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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.