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Finding the Fourth Proportional to 82,893.63, 114,390.12 and 50,682.21

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Solution

The fourth proportional to 82,893.63, 114,390.12 and 50,682.21 is: 69,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.63 : 114,390.12 = 50,682.21 : x
  2. Step 2: Convert to fraction form
    82,893.63/114,390.12 = 50,682.21/x
  3. Step 3: Cross multiply
    82,893.63x = 114,390.12 × 50,682.21
  4. Step 4: Simplify right side
    82,893.63x = 5,797,544,083.77
  5. Step 5: Solve for x
    x = 5,797,544,083.77/82,893.63
  6. Step 6: Final answer
    x = 69,939.56

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1.5x scale

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.