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Finding the Fourth Proportional to 105,762.60, 158,651.10 and 33,709.80

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Solution

The fourth proportional to 105,762.60, 158,651.10 and 33,709.80 is: 50,566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,762.60 : 158,651.10 = 33,709.80 : x
  2. Step 2: Convert to fraction form
    105,762.60/158,651.10 = 33,709.80/x
  3. Step 3: Cross multiply
    105,762.60x = 158,651.10 × 33,709.80
  4. Step 4: Simplify right side
    105,762.60x = 5,348,096,850.78
  5. Step 5: Solve for x
    x = 5,348,096,850.78/105,762.60
  6. Step 6: Final answer
    x = 50,566.99

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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.