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Finding the Fourth Proportional to 36,784, 55,186.88 and 21,212.80

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Solution

The fourth proportional to 36,784, 55,186.88 and 21,212.80 is: 31,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784 : 55,186.88 = 21,212.80 : x
  2. Step 2: Convert to fraction form
    36,784/55,186.88 = 21,212.80/x
  3. Step 3: Cross multiply
    36,784x = 55,186.88 × 21,212.80
  4. Step 4: Simplify right side
    36,784x = 1,170,668,248.06
  5. Step 5: Solve for x
    x = 1,170,668,248.06/36,784
  6. Step 6: Final answer
    x = 31,825.47

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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.