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Finding the Fourth Proportional to 30,177.78, 41,522.94 and 24,780.48

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Solution

The fourth proportional to 30,177.78, 41,522.94 and 24,780.48 is: 34,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.78 : 41,522.94 = 24,780.48 : x
  2. Step 2: Convert to fraction form
    30,177.78/41,522.94 = 24,780.48/x
  3. Step 3: Cross multiply
    30,177.78x = 41,522.94 × 24,780.48
  4. Step 4: Simplify right side
    30,177.78x = 1,028,958,384.21
  5. Step 5: Solve for x
    x = 1,028,958,384.21/30,177.78
  6. Step 6: Final answer
    x = 34,096.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.