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Finding the Fourth Proportional to 83,363.89, 115,010.77 and 54,699.38

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Solution

The fourth proportional to 83,363.89, 115,010.77 and 54,699.38 is: 75,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,363.89 : 115,010.77 = 54,699.38 : x
  2. Step 2: Convert to fraction form
    83,363.89/115,010.77 = 54,699.38/x
  3. Step 3: Cross multiply
    83,363.89x = 115,010.77 × 54,699.38
  4. Step 4: Simplify right side
    83,363.89x = 6,291,017,812.32
  5. Step 5: Solve for x
    x = 6,291,017,812.32/83,363.89
  6. Step 6: Final answer
    x = 75,464.54

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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.