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Finding the Fourth Proportional to 82,622.10, 114,018.62 and 46,814.54

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Solution

The fourth proportional to 82,622.10, 114,018.62 and 46,814.54 is: 64,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,622.10 : 114,018.62 = 46,814.54 : x
  2. Step 2: Convert to fraction form
    82,622.10/114,018.62 = 46,814.54/x
  3. Step 3: Cross multiply
    82,622.10x = 114,018.62 × 46,814.54
  4. Step 4: Simplify right side
    82,622.10x = 5,337,729,246.73
  5. Step 5: Solve for x
    x = 5,337,729,246.73/82,622.10
  6. Step 6: Final answer
    x = 64,604.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.