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Finding the Fourth Proportional to 28,033.50, 42,050.25 and 11,402.58

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Solution

The fourth proportional to 28,033.50, 42,050.25 and 11,402.58 is: 17,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,033.50 : 42,050.25 = 11,402.58 : x
  2. Step 2: Convert to fraction form
    28,033.50/42,050.25 = 11,402.58/x
  3. Step 3: Cross multiply
    28,033.50x = 42,050.25 × 11,402.58
  4. Step 4: Simplify right side
    28,033.50x = 479,481,339.65
  5. Step 5: Solve for x
    x = 479,481,339.65/28,033.50
  6. Step 6: Final answer
    x = 17,103.87

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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.