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Finding the Fourth Proportional to 34,274, 51,415.08 and 12,082.76

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Solution

The fourth proportional to 34,274, 51,415.08 and 12,082.76 is: 18,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,274 : 51,415.08 = 12,082.76 : x
  2. Step 2: Convert to fraction form
    34,274/51,415.08 = 12,082.76/x
  3. Step 3: Cross multiply
    34,274x = 51,415.08 × 12,082.76
  4. Step 4: Simplify right side
    34,274x = 621,236,072.02
  5. Step 5: Solve for x
    x = 621,236,072.02/34,274
  6. Step 6: Final answer
    x = 18,125.58

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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.