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Finding the Fourth Proportional to 30,343.78, 41,878.05 and 17,768.50

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Solution

The fourth proportional to 30,343.78, 41,878.05 and 17,768.50 is: 24,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343.78 : 41,878.05 = 17,768.50 : x
  2. Step 2: Convert to fraction form
    30,343.78/41,878.05 = 17,768.50/x
  3. Step 3: Cross multiply
    30,343.78x = 41,878.05 × 17,768.50
  4. Step 4: Simplify right side
    30,343.78x = 744,110,131.43
  5. Step 5: Solve for x
    x = 744,110,131.43/30,343.78
  6. Step 6: Final answer
    x = 24,522.66

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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.