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Finding the Fourth Proportional to 34,270.96, 51,411.66 and 12,080.44

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Solution

The fourth proportional to 34,270.96, 51,411.66 and 12,080.44 is: 18,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,270.96 : 51,411.66 = 12,080.44 : x
  2. Step 2: Convert to fraction form
    34,270.96/51,411.66 = 12,080.44/x
  3. Step 3: Cross multiply
    34,270.96x = 51,411.66 × 12,080.44
  4. Step 4: Simplify right side
    34,270.96x = 621,075,473.93
  5. Step 5: Solve for x
    x = 621,075,473.93/34,270.96
  6. Step 6: Final answer
    x = 18,122.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.