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Finding the Fourth Proportional to 82,958.70, 114,462.45 and 48,967.86

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Solution

The fourth proportional to 82,958.70, 114,462.45 and 48,967.86 is: 67,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,958.70 : 114,462.45 = 48,967.86 : x
  2. Step 2: Convert to fraction form
    82,958.70/114,462.45 = 48,967.86/x
  3. Step 3: Cross multiply
    82,958.70x = 114,462.45 × 48,967.86
  4. Step 4: Simplify right side
    82,958.70x = 5,604,981,226.86
  5. Step 5: Solve for x
    x = 5,604,981,226.86/82,958.70
  6. Step 6: Final answer
    x = 67,563.51

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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.