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Finding the Fourth Proportional to 34,305.60, 47,341.20 and 19,198

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Solution

The fourth proportional to 34,305.60, 47,341.20 and 19,198 is: 26,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,305.60 : 47,341.20 = 19,198 : x
  2. Step 2: Convert to fraction form
    34,305.60/47,341.20 = 19,198/x
  3. Step 3: Cross multiply
    34,305.60x = 47,341.20 × 19,198
  4. Step 4: Simplify right side
    34,305.60x = 908,856,357.60
  5. Step 5: Solve for x
    x = 908,856,357.60/34,305.60
  6. Step 6: Final answer
    x = 26,492.94

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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.