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Finding the Fourth Proportional to 34,142.06, 51,213.06 and 10,768.50

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Solution

The fourth proportional to 34,142.06, 51,213.06 and 10,768.50 is: 16,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.06 : 51,213.06 = 10,768.50 : x
  2. Step 2: Convert to fraction form
    34,142.06/51,213.06 = 10,768.50/x
  3. Step 3: Cross multiply
    34,142.06x = 51,213.06 × 10,768.50
  4. Step 4: Simplify right side
    34,142.06x = 551,487,836.61
  5. Step 5: Solve for x
    x = 551,487,836.61/34,142.06
  6. Step 6: Final answer
    x = 16,152.74

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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.