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Finding the Fourth Proportional to 34,652.68, 51,982.86 and 11,274.76

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Solution

The fourth proportional to 34,652.68, 51,982.86 and 11,274.76 is: 16,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.68 : 51,982.86 = 11,274.76 : x
  2. Step 2: Convert to fraction form
    34,652.68/51,982.86 = 11,274.76/x
  3. Step 3: Cross multiply
    34,652.68x = 51,982.86 × 11,274.76
  4. Step 4: Simplify right side
    34,652.68x = 586,094,270.61
  5. Step 5: Solve for x
    x = 586,094,270.61/34,652.68
  6. Step 6: Final answer
    x = 16,913.39

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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.