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Finding the Fourth Proportional to 30,293.87, 41,807.15 and 16,866.30

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Solution

The fourth proportional to 30,293.87, 41,807.15 and 16,866.30 is: 23,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,293.87 : 41,807.15 = 16,866.30 : x
  2. Step 2: Convert to fraction form
    30,293.87/41,807.15 = 16,866.30/x
  3. Step 3: Cross multiply
    30,293.87x = 41,807.15 × 16,866.30
  4. Step 4: Simplify right side
    30,293.87x = 705,131,934.05
  5. Step 5: Solve for x
    x = 705,131,934.05/30,293.87
  6. Step 6: Final answer
    x = 23,276.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.