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Finding the Fourth Proportional to 46,410.92, 69,616.30 and 16,828.68

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Solution

The fourth proportional to 46,410.92, 69,616.30 and 16,828.68 is: 25,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410.92 : 69,616.30 = 16,828.68 : x
  2. Step 2: Convert to fraction form
    46,410.92/69,616.30 = 16,828.68/x
  3. Step 3: Cross multiply
    46,410.92x = 69,616.30 × 16,828.68
  4. Step 4: Simplify right side
    46,410.92x = 1,171,550,435.48
  5. Step 5: Solve for x
    x = 1,171,550,435.48/46,410.92
  6. Step 6: Final answer
    x = 25,242.99

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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.