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Finding the Fourth Proportional to 105,732.87, 158,583.87 and 30,832.89

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Solution

The fourth proportional to 105,732.87, 158,583.87 and 30,832.89 is: 46,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,732.87 : 158,583.87 = 30,832.89 : x
  2. Step 2: Convert to fraction form
    105,732.87/158,583.87 = 30,832.89/x
  3. Step 3: Cross multiply
    105,732.87x = 158,583.87 × 30,832.89
  4. Step 4: Simplify right side
    105,732.87x = 4,889,599,019.48
  5. Step 5: Solve for x
    x = 4,889,599,019.48/105,732.87
  6. Step 6: Final answer
    x = 46,244.83

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Why These Related Problems?

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