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Finding the Fourth Proportional to 83,817.12, 115,632 and 53,595.84

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Solution

The fourth proportional to 83,817.12, 115,632 and 53,595.84 is: 73,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,817.12 : 115,632 = 53,595.84 : x
  2. Step 2: Convert to fraction form
    83,817.12/115,632 = 53,595.84/x
  3. Step 3: Cross multiply
    83,817.12x = 115,632 × 53,595.84
  4. Step 4: Simplify right side
    83,817.12x = 6,197,394,170.88
  5. Step 5: Solve for x
    x = 6,197,394,170.88/83,817.12
  6. Step 6: Final answer
    x = 73,939.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.