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Finding the Fourth Proportional to 82,406.22, 113,739.15 and 48,425.63

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Solution

The fourth proportional to 82,406.22, 113,739.15 and 48,425.63 is: 66,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.22 : 113,739.15 = 48,425.63 : x
  2. Step 2: Convert to fraction form
    82,406.22/113,739.15 = 48,425.63/x
  3. Step 3: Cross multiply
    82,406.22x = 113,739.15 × 48,425.63
  4. Step 4: Simplify right side
    82,406.22x = 5,507,889,425.72
  5. Step 5: Solve for x
    x = 5,507,889,425.72/82,406.22
  6. Step 6: Final answer
    x = 66,838.27

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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.