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Finding the Fourth Proportional to 20,552.32, 30,830.56 and 5,761.28

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Solution

The fourth proportional to 20,552.32, 30,830.56 and 5,761.28 is: 8,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.32 : 30,830.56 = 5,761.28 : x
  2. Step 2: Convert to fraction form
    20,552.32/30,830.56 = 5,761.28/x
  3. Step 3: Cross multiply
    20,552.32x = 30,830.56 × 5,761.28
  4. Step 4: Simplify right side
    20,552.32x = 177,623,488.72
  5. Step 5: Solve for x
    x = 177,623,488.72/20,552.32
  6. Step 6: Final answer
    x = 8,642.50

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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.