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Finding the Fourth Proportional to 34,385.40, 51,578.10 and 20,561.40

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Solution

The fourth proportional to 34,385.40, 51,578.10 and 20,561.40 is: 30,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,385.40 : 51,578.10 = 20,561.40 : x
  2. Step 2: Convert to fraction form
    34,385.40/51,578.10 = 20,561.40/x
  3. Step 3: Cross multiply
    34,385.40x = 51,578.10 × 20,561.40
  4. Step 4: Simplify right side
    34,385.40x = 1,060,517,945.34
  5. Step 5: Solve for x
    x = 1,060,517,945.34/34,385.40
  6. Step 6: Final answer
    x = 30,842.10

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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.