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Finding the Fourth Proportional to 85,717.50, 128,596.78 and 35,769.81

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Solution

The fourth proportional to 85,717.50, 128,596.78 and 35,769.81 is: 53,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,717.50 : 128,596.78 = 35,769.81 : x
  2. Step 2: Convert to fraction form
    85,717.50/128,596.78 = 35,769.81/x
  3. Step 3: Cross multiply
    85,717.50x = 128,596.78 × 35,769.81
  4. Step 4: Simplify right side
    85,717.50x = 4,599,882,387.21
  5. Step 5: Solve for x
    x = 4,599,882,387.21/85,717.50
  6. Step 6: Final answer
    x = 53,663.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.