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Finding the Fourth Proportional to 36,233.46, 54,347.76 and 9,936

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Solution

The fourth proportional to 36,233.46, 54,347.76 and 9,936 is: 14,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,233.46 : 54,347.76 = 9,936 : x
  2. Step 2: Convert to fraction form
    36,233.46/54,347.76 = 9,936/x
  3. Step 3: Cross multiply
    36,233.46x = 54,347.76 × 9,936
  4. Step 4: Simplify right side
    36,233.46x = 539,999,343.36
  5. Step 5: Solve for x
    x = 539,999,343.36/36,233.46
  6. Step 6: Final answer
    x = 14,903.33

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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.