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Finding the Fourth Proportional to 20,530.75, 30,796.08 and 4,948.38

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Solution

The fourth proportional to 20,530.75, 30,796.08 and 4,948.38 is: 7,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.75 : 30,796.08 = 4,948.38 : x
  2. Step 2: Convert to fraction form
    20,530.75/30,796.08 = 4,948.38/x
  3. Step 3: Cross multiply
    20,530.75x = 30,796.08 × 4,948.38
  4. Step 4: Simplify right side
    20,530.75x = 152,390,706.35
  5. Step 5: Solve for x
    x = 152,390,706.35/20,530.75
  6. Step 6: Final answer
    x = 7,422.56

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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.