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Finding the Fourth Proportional to 34,542.36, 51,813.54 and 13,780.44

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Solution

The fourth proportional to 34,542.36, 51,813.54 and 13,780.44 is: 20,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.36 : 51,813.54 = 13,780.44 : x
  2. Step 2: Convert to fraction form
    34,542.36/51,813.54 = 13,780.44/x
  3. Step 3: Cross multiply
    34,542.36x = 51,813.54 × 13,780.44
  4. Step 4: Simplify right side
    34,542.36x = 714,013,379.16
  5. Step 5: Solve for x
    x = 714,013,379.16/34,542.36
  6. Step 6: Final answer
    x = 20,670.66

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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.