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Finding the Fourth Proportional to 82,083.90, 113,270.91 and 47,625.96

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Solution

The fourth proportional to 82,083.90, 113,270.91 and 47,625.96 is: 65,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,083.90 : 113,270.91 = 47,625.96 : x
  2. Step 2: Convert to fraction form
    82,083.90/113,270.91 = 47,625.96/x
  3. Step 3: Cross multiply
    82,083.90x = 113,270.91 × 47,625.96
  4. Step 4: Simplify right side
    82,083.90x = 5,394,636,074.99
  5. Step 5: Solve for x
    x = 5,394,636,074.99/82,083.90
  6. Step 6: Final answer
    x = 65,721.00

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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.