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Finding the Fourth Proportional to 36,770.14, 55,133 and 16,503.22

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Solution

The fourth proportional to 36,770.14, 55,133 and 16,503.22 is: 24,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,770.14 : 55,133 = 16,503.22 : x
  2. Step 2: Convert to fraction form
    36,770.14/55,133 = 16,503.22/x
  3. Step 3: Cross multiply
    36,770.14x = 55,133 × 16,503.22
  4. Step 4: Simplify right side
    36,770.14x = 909,872,028.26
  5. Step 5: Solve for x
    x = 909,872,028.26/36,770.14
  6. Step 6: Final answer
    x = 24,744.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.