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Finding the Fourth Proportional to 82,034.30, 113,195.01 and 46,223.54

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Solution

The fourth proportional to 82,034.30, 113,195.01 and 46,223.54 is: 63,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,034.30 : 113,195.01 = 46,223.54 : x
  2. Step 2: Convert to fraction form
    82,034.30/113,195.01 = 46,223.54/x
  3. Step 3: Cross multiply
    82,034.30x = 113,195.01 × 46,223.54
  4. Step 4: Simplify right side
    82,034.30x = 5,232,274,104.38
  5. Step 5: Solve for x
    x = 5,232,274,104.38/82,034.30
  6. Step 6: Final answer
    x = 63,781.54

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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.