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Finding the Fourth Proportional to 85,769.34, 128,732.46 and 43,678.50

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Solution

The fourth proportional to 85,769.34, 128,732.46 and 43,678.50 is: 65,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,769.34 : 128,732.46 = 43,678.50 : x
  2. Step 2: Convert to fraction form
    85,769.34/128,732.46 = 43,678.50/x
  3. Step 3: Cross multiply
    85,769.34x = 128,732.46 × 43,678.50
  4. Step 4: Simplify right side
    85,769.34x = 5,622,840,754.11
  5. Step 5: Solve for x
    x = 5,622,840,754.11/85,769.34
  6. Step 6: Final answer
    x = 65,557.70

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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.