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Finding the Fourth Proportional to 82,536.70, 113,903.37 and 46,725.97

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Solution

The fourth proportional to 82,536.70, 113,903.37 and 46,725.97 is: 64,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,536.70 : 113,903.37 = 46,725.97 : x
  2. Step 2: Convert to fraction form
    82,536.70/113,903.37 = 46,725.97/x
  3. Step 3: Cross multiply
    82,536.70x = 113,903.37 × 46,725.97
  4. Step 4: Simplify right side
    82,536.70x = 5,322,245,449.52
  5. Step 5: Solve for x
    x = 5,322,245,449.52/82,536.70
  6. Step 6: Final answer
    x = 64,483.38

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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.