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Finding the Fourth Proportional to 82,814.79, 124,219.54 and 23,650.42

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Solution

The fourth proportional to 82,814.79, 124,219.54 and 23,650.42 is: 35,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,814.79 : 124,219.54 = 23,650.42 : x
  2. Step 2: Convert to fraction form
    82,814.79/124,219.54 = 23,650.42/x
  3. Step 3: Cross multiply
    82,814.79x = 124,219.54 × 23,650.42
  4. Step 4: Simplify right side
    82,814.79x = 2,937,844,012.22
  5. Step 5: Solve for x
    x = 2,937,844,012.22/82,814.79
  6. Step 6: Final answer
    x = 35,474.87

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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.