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Finding the Fourth Proportional to 34,577.40, 51,834.42 and 11,191.80

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Solution

The fourth proportional to 34,577.40, 51,834.42 and 11,191.80 is: 16,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,577.40 : 51,834.42 = 11,191.80 : x
  2. Step 2: Convert to fraction form
    34,577.40/51,834.42 = 11,191.80/x
  3. Step 3: Cross multiply
    34,577.40x = 51,834.42 × 11,191.80
  4. Step 4: Simplify right side
    34,577.40x = 580,120,461.76
  5. Step 5: Solve for x
    x = 580,120,461.76/34,577.40
  6. Step 6: Final answer
    x = 16,777.45

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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.