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Finding the Fourth Proportional to 34,153.92, 51,230.40 and 10,780.14

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Solution

The fourth proportional to 34,153.92, 51,230.40 and 10,780.14 is: 16,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,153.92 : 51,230.40 = 10,780.14 : x
  2. Step 2: Convert to fraction form
    34,153.92/51,230.40 = 10,780.14/x
  3. Step 3: Cross multiply
    34,153.92x = 51,230.40 × 10,780.14
  4. Step 4: Simplify right side
    34,153.92x = 552,270,884.26
  5. Step 5: Solve for x
    x = 552,270,884.26/34,153.92
  6. Step 6: Final answer
    x = 16,170.06

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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.