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Finding the Fourth Proportional to 36,649.50, 54,971.49 and 11,688.54

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Solution

The fourth proportional to 36,649.50, 54,971.49 and 11,688.54 is: 17,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,649.50 : 54,971.49 = 11,688.54 : x
  2. Step 2: Convert to fraction form
    36,649.50/54,971.49 = 11,688.54/x
  3. Step 3: Cross multiply
    36,649.50x = 54,971.49 × 11,688.54
  4. Step 4: Simplify right side
    36,649.50x = 642,536,459.72
  5. Step 5: Solve for x
    x = 642,536,459.72/36,649.50
  6. Step 6: Final answer
    x = 17,531.93

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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.