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Finding the Fourth Proportional to 82,223.88, 113,469.30 and 46,414.32

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Solution

The fourth proportional to 82,223.88, 113,469.30 and 46,414.32 is: 64,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,223.88 : 113,469.30 = 46,414.32 : x
  2. Step 2: Convert to fraction form
    82,223.88/113,469.30 = 46,414.32/x
  3. Step 3: Cross multiply
    82,223.88x = 113,469.30 × 46,414.32
  4. Step 4: Simplify right side
    82,223.88x = 5,266,600,400.38
  5. Step 5: Solve for x
    x = 5,266,600,400.38/82,223.88
  6. Step 6: Final answer
    x = 64,051.96

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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.