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Finding the Fourth Proportional to 82,717.96, 114,147.33 and 48,727.84

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Solution

The fourth proportional to 82,717.96, 114,147.33 and 48,727.84 is: 67,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,717.96 : 114,147.33 = 48,727.84 : x
  2. Step 2: Convert to fraction form
    82,717.96/114,147.33 = 48,727.84/x
  3. Step 3: Cross multiply
    82,717.96x = 114,147.33 × 48,727.84
  4. Step 4: Simplify right side
    82,717.96x = 5,562,152,832.67
  5. Step 5: Solve for x
    x = 5,562,152,832.67/82,717.96
  6. Step 6: Final answer
    x = 67,242.38

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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.