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Finding the Fourth Proportional to 82,814.20, 124,223.34 and 30,223.66

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Solution

The fourth proportional to 82,814.20, 124,223.34 and 30,223.66 is: 45,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,814.20 : 124,223.34 = 30,223.66 : x
  2. Step 2: Convert to fraction form
    82,814.20/124,223.34 = 30,223.66/x
  3. Step 3: Cross multiply
    82,814.20x = 124,223.34 × 30,223.66
  4. Step 4: Simplify right side
    82,814.20x = 3,754,483,992.22
  5. Step 5: Solve for x
    x = 3,754,483,992.22/82,814.20
  6. Step 6: Final answer
    x = 45,336.23

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