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Finding the Fourth Proportional to 82,906, 114,411.09 and 45,181.06

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Solution

The fourth proportional to 82,906, 114,411.09 and 45,181.06 is: 62,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906 : 114,411.09 = 45,181.06 : x
  2. Step 2: Convert to fraction form
    82,906/114,411.09 = 45,181.06/x
  3. Step 3: Cross multiply
    82,906x = 114,411.09 × 45,181.06
  4. Step 4: Simplify right side
    82,906x = 5,169,214,321.96
  5. Step 5: Solve for x
    x = 5,169,214,321.96/82,906
  6. Step 6: Final answer
    x = 62,350.30

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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.