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Finding the Fourth Proportional to 82,336.50, 113,629.32 and 46,525.68

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Solution

The fourth proportional to 82,336.50, 113,629.32 and 46,525.68 is: 64,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,336.50 : 113,629.32 = 46,525.68 : x
  2. Step 2: Convert to fraction form
    82,336.50/113,629.32 = 46,525.68/x
  3. Step 3: Cross multiply
    82,336.50x = 113,629.32 × 46,525.68
  4. Step 4: Simplify right side
    82,336.50x = 5,286,681,380.94
  5. Step 5: Solve for x
    x = 5,286,681,380.94/82,336.50
  6. Step 6: Final answer
    x = 64,208.24

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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.