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Finding the Fourth Proportional to 82,721.15, 114,145.91 and 48,727.42

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Solution

The fourth proportional to 82,721.15, 114,145.91 and 48,727.42 is: 67,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,721.15 : 114,145.91 = 48,727.42 : x
  2. Step 2: Convert to fraction form
    82,721.15/114,145.91 = 48,727.42/x
  3. Step 3: Cross multiply
    82,721.15x = 114,145.91 × 48,727.42
  4. Step 4: Simplify right side
    82,721.15x = 5,562,035,993.65
  5. Step 5: Solve for x
    x = 5,562,035,993.65/82,721.15
  6. Step 6: Final answer
    x = 67,238.38

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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.