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Finding the Fourth Proportional to 105,771.92, 158,658.40 and 35,651.84

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Solution

The fourth proportional to 105,771.92, 158,658.40 and 35,651.84 is: 53,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,771.92 : 158,658.40 = 35,651.84 : x
  2. Step 2: Convert to fraction form
    105,771.92/158,658.40 = 35,651.84/x
  3. Step 3: Cross multiply
    105,771.92x = 158,658.40 × 35,651.84
  4. Step 4: Simplify right side
    105,771.92x = 5,656,463,891.46
  5. Step 5: Solve for x
    x = 5,656,463,891.46/105,771.92
  6. Step 6: Final answer
    x = 53,477.94

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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.