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Finding the Fourth Proportional to 46,494, 64,163.16 and 26,622

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Solution

The fourth proportional to 46,494, 64,163.16 and 26,622 is: 36,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,494 : 64,163.16 = 26,622 : x
  2. Step 2: Convert to fraction form
    46,494/64,163.16 = 26,622/x
  3. Step 3: Cross multiply
    46,494x = 64,163.16 × 26,622
  4. Step 4: Simplify right side
    46,494x = 1,708,151,645.52
  5. Step 5: Solve for x
    x = 1,708,151,645.52/46,494
  6. Step 6: Final answer
    x = 36,739.18

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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.