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Finding the Fourth Proportional to 28,047.30, 42,067.71 and 8,323.80

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Solution

The fourth proportional to 28,047.30, 42,067.71 and 8,323.80 is: 12,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,047.30 : 42,067.71 = 8,323.80 : x
  2. Step 2: Convert to fraction form
    28,047.30/42,067.71 = 8,323.80/x
  3. Step 3: Cross multiply
    28,047.30x = 42,067.71 × 8,323.80
  4. Step 4: Simplify right side
    28,047.30x = 350,163,204.50
  5. Step 5: Solve for x
    x = 350,163,204.50/28,047.30
  6. Step 6: Final answer
    x = 12,484.74

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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.