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Finding the Fourth Proportional to 82,106.48, 113,309.74 and 47,648.54

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Solution

The fourth proportional to 82,106.48, 113,309.74 and 47,648.54 is: 65,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,106.48 : 113,309.74 = 47,648.54 : x
  2. Step 2: Convert to fraction form
    82,106.48/113,309.74 = 47,648.54/x
  3. Step 3: Cross multiply
    82,106.48x = 113,309.74 × 47,648.54
  4. Step 4: Simplify right side
    82,106.48x = 5,399,043,652.05
  5. Step 5: Solve for x
    x = 5,399,043,652.05/82,106.48
  6. Step 6: Final answer
    x = 65,756.61

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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.