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Finding the Fourth Proportional to 82,389.25, 113,699.09 and 46,581.38

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Solution

The fourth proportional to 82,389.25, 113,699.09 and 46,581.38 is: 64,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,389.25 : 113,699.09 = 46,581.38 : x
  2. Step 2: Convert to fraction form
    82,389.25/113,699.09 = 46,581.38/x
  3. Step 3: Cross multiply
    82,389.25x = 113,699.09 × 46,581.38
  4. Step 4: Simplify right side
    82,389.25x = 5,296,260,491.27
  5. Step 5: Solve for x
    x = 5,296,260,491.27/82,389.25
  6. Step 6: Final answer
    x = 64,283.39

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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.