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Finding the Fourth Proportional to 49,572, 68,467.68 and 33,628.77

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Solution

The fourth proportional to 49,572, 68,467.68 and 33,628.77 is: 46,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,572 : 68,467.68 = 33,628.77 : x
  2. Step 2: Convert to fraction form
    49,572/68,467.68 = 33,628.77/x
  3. Step 3: Cross multiply
    49,572x = 68,467.68 × 33,628.77
  4. Step 4: Simplify right side
    49,572x = 2,302,483,863.15
  5. Step 5: Solve for x
    x = 2,302,483,863.15/49,572
  6. Step 6: Final answer
    x = 46,447.27

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Why These Related Problems?

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