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Finding the Fourth Proportional to 36,296.28, 54,409.86 and 11,655

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Solution

The fourth proportional to 36,296.28, 54,409.86 and 11,655 is: 17,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,296.28 : 54,409.86 = 11,655 : x
  2. Step 2: Convert to fraction form
    36,296.28/54,409.86 = 11,655/x
  3. Step 3: Cross multiply
    36,296.28x = 54,409.86 × 11,655
  4. Step 4: Simplify right side
    36,296.28x = 634,146,918.30
  5. Step 5: Solve for x
    x = 634,146,918.30/36,296.28
  6. Step 6: Final answer
    x = 17,471.40

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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.