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Finding the Fourth Proportional to 28,289.98, 42,435.03 and 10,524.54

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Solution

The fourth proportional to 28,289.98, 42,435.03 and 10,524.54 is: 15,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,289.98 : 42,435.03 = 10,524.54 : x
  2. Step 2: Convert to fraction form
    28,289.98/42,435.03 = 10,524.54/x
  3. Step 3: Cross multiply
    28,289.98x = 42,435.03 × 10,524.54
  4. Step 4: Simplify right side
    28,289.98x = 446,609,011.50
  5. Step 5: Solve for x
    x = 446,609,011.50/28,289.98
  6. Step 6: Final answer
    x = 15,786.83

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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.