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Finding the Fourth Proportional to 34,092.80, 51,118.32 and 13,292

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Solution

The fourth proportional to 34,092.80, 51,118.32 and 13,292 is: 19,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,092.80 : 51,118.32 = 13,292 : x
  2. Step 2: Convert to fraction form
    34,092.80/51,118.32 = 13,292/x
  3. Step 3: Cross multiply
    34,092.80x = 51,118.32 × 13,292
  4. Step 4: Simplify right side
    34,092.80x = 679,464,709.44
  5. Step 5: Solve for x
    x = 679,464,709.44/34,092.80
  6. Step 6: Final answer
    x = 19,929.86

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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.