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Finding the Fourth Proportional to 82,005.99, 122,859.13 and 59,460.86

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Solution

The fourth proportional to 82,005.99, 122,859.13 and 59,460.86 is: 89,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,005.99 : 122,859.13 = 59,460.86 : x
  2. Step 2: Convert to fraction form
    82,005.99/122,859.13 = 59,460.86/x
  3. Step 3: Cross multiply
    82,005.99x = 122,859.13 × 59,460.86
  4. Step 4: Simplify right side
    82,005.99x = 7,305,309,528.65
  5. Step 5: Solve for x
    x = 7,305,309,528.65/82,005.99
  6. Step 6: Final answer
    x = 89,082.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.