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Finding the Fourth Proportional to 105,812.46, 158,713.56 and 39,265.56

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Solution

The fourth proportional to 105,812.46, 158,713.56 and 39,265.56 is: 58,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,812.46 : 158,713.56 = 39,265.56 : x
  2. Step 2: Convert to fraction form
    105,812.46/158,713.56 = 39,265.56/x
  3. Step 3: Cross multiply
    105,812.46x = 158,713.56 × 39,265.56
  4. Step 4: Simplify right side
    105,812.46x = 6,231,976,812.99
  5. Step 5: Solve for x
    x = 6,231,976,812.99/105,812.46
  6. Step 6: Final answer
    x = 58,896.44

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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.