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Finding the Fourth Proportional to 54,852.50, 82,279.02 and 13,299.50

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Solution

The fourth proportional to 54,852.50, 82,279.02 and 13,299.50 is: 19,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,852.50 : 82,279.02 = 13,299.50 : x
  2. Step 2: Convert to fraction form
    54,852.50/82,279.02 = 13,299.50/x
  3. Step 3: Cross multiply
    54,852.50x = 82,279.02 × 13,299.50
  4. Step 4: Simplify right side
    54,852.50x = 1,094,269,826.49
  5. Step 5: Solve for x
    x = 1,094,269,826.49/54,852.50
  6. Step 6: Final answer
    x = 19,949.32

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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.