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Finding the Fourth Proportional to 52,414.54, 78,634.10 and 17,354.20

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Solution

The fourth proportional to 52,414.54, 78,634.10 and 17,354.20 is: 26,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,414.54 : 78,634.10 = 17,354.20 : x
  2. Step 2: Convert to fraction form
    52,414.54/78,634.10 = 17,354.20/x
  3. Step 3: Cross multiply
    52,414.54x = 78,634.10 × 17,354.20
  4. Step 4: Simplify right side
    52,414.54x = 1,364,631,898.22
  5. Step 5: Solve for x
    x = 1,364,631,898.22/52,414.54
  6. Step 6: Final answer
    x = 26,035.37

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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.