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Finding the Fourth Proportional to 83,309.82, 114,847.95 and 59,394.98

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Solution

The fourth proportional to 83,309.82, 114,847.95 and 59,394.98 is: 81,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,309.82 : 114,847.95 = 59,394.98 : x
  2. Step 2: Convert to fraction form
    83,309.82/114,847.95 = 59,394.98/x
  3. Step 3: Cross multiply
    83,309.82x = 114,847.95 × 59,394.98
  4. Step 4: Simplify right side
    83,309.82x = 6,821,391,119.05
  5. Step 5: Solve for x
    x = 6,821,391,119.05/83,309.82
  6. Step 6: Final answer
    x = 81,879.80

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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.