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Finding the Fourth Proportional to 103,406.54, 155,110.41 and 36,849.23

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Solution

The fourth proportional to 103,406.54, 155,110.41 and 36,849.23 is: 55,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,406.54 : 155,110.41 = 36,849.23 : x
  2. Step 2: Convert to fraction form
    103,406.54/155,110.41 = 36,849.23/x
  3. Step 3: Cross multiply
    103,406.54x = 155,110.41 × 36,849.23
  4. Step 4: Simplify right side
    103,406.54x = 5,715,699,173.48
  5. Step 5: Solve for x
    x = 5,715,699,173.48/103,406.54
  6. Step 6: Final answer
    x = 55,274.06

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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.