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Finding the Fourth Proportional to 30,030, 45,142.20 and 27,865.68

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Solution

The fourth proportional to 30,030, 45,142.20 and 27,865.68 is: 41,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,030 : 45,142.20 = 27,865.68 : x
  2. Step 2: Convert to fraction form
    30,030/45,142.20 = 27,865.68/x
  3. Step 3: Cross multiply
    30,030x = 45,142.20 × 27,865.68
  4. Step 4: Simplify right side
    30,030x = 1,257,918,099.70
  5. Step 5: Solve for x
    x = 1,257,918,099.70/30,030
  6. Step 6: Final answer
    x = 41,888.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.