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Finding the Fourth Proportional to 24,920.29, 37,380.56 and 6,200.31

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Solution

The fourth proportional to 24,920.29, 37,380.56 and 6,200.31 is: 9,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,920.29 : 37,380.56 = 6,200.31 : x
  2. Step 2: Convert to fraction form
    24,920.29/37,380.56 = 6,200.31/x
  3. Step 3: Cross multiply
    24,920.29x = 37,380.56 × 6,200.31
  4. Step 4: Simplify right side
    24,920.29x = 231,771,169.15
  5. Step 5: Solve for x
    x = 231,771,169.15/24,920.29
  6. Step 6: Final answer
    x = 9,300.50

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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.