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Finding the Fourth Proportional to 82,620, 114,012.48 and 44,893.44

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Solution

The fourth proportional to 82,620, 114,012.48 and 44,893.44 is: 61,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,620 : 114,012.48 = 44,893.44 : x
  2. Step 2: Convert to fraction form
    82,620/114,012.48 = 44,893.44/x
  3. Step 3: Cross multiply
    82,620x = 114,012.48 × 44,893.44
  4. Step 4: Simplify right side
    82,620x = 5,118,412,430.13
  5. Step 5: Solve for x
    x = 5,118,412,430.13/82,620
  6. Step 6: Final answer
    x = 61,951.25

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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.