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Finding the Fourth Proportional to 105,767.54, 158,651.85 and 35,647.46

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Solution

The fourth proportional to 105,767.54, 158,651.85 and 35,647.46 is: 53,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,767.54 : 158,651.85 = 35,647.46 : x
  2. Step 2: Convert to fraction form
    105,767.54/158,651.85 = 35,647.46/x
  3. Step 3: Cross multiply
    105,767.54x = 158,651.85 × 35,647.46
  4. Step 4: Simplify right side
    105,767.54x = 5,655,535,476.80
  5. Step 5: Solve for x
    x = 5,655,535,476.80/105,767.54
  6. Step 6: Final answer
    x = 53,471.37

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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.