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Finding the Fourth Proportional to 36,576.80, 54,870.96 and 13,208.96

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Solution

The fourth proportional to 36,576.80, 54,870.96 and 13,208.96 is: 19,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,576.80 : 54,870.96 = 13,208.96 : x
  2. Step 2: Convert to fraction form
    36,576.80/54,870.96 = 13,208.96/x
  3. Step 3: Cross multiply
    36,576.80x = 54,870.96 × 13,208.96
  4. Step 4: Simplify right side
    36,576.80x = 724,788,315.80
  5. Step 5: Solve for x
    x = 724,788,315.80/36,576.80
  6. Step 6: Final answer
    x = 19,815.52

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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.