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Finding the Fourth Proportional to 28,702.44, 43,057.98 and 10,233

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Solution

The fourth proportional to 28,702.44, 43,057.98 and 10,233 is: 15,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,702.44 : 43,057.98 = 10,233 : x
  2. Step 2: Convert to fraction form
    28,702.44/43,057.98 = 10,233/x
  3. Step 3: Cross multiply
    28,702.44x = 43,057.98 × 10,233
  4. Step 4: Simplify right side
    28,702.44x = 440,612,309.34
  5. Step 5: Solve for x
    x = 440,612,309.34/28,702.44
  6. Step 6: Final answer
    x = 15,351.04

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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.