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Finding the Fourth Proportional to 34,406.80, 51,611.28 and 12,219.82

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Solution

The fourth proportional to 34,406.80, 51,611.28 and 12,219.82 is: 18,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.80 : 51,611.28 = 12,219.82 : x
  2. Step 2: Convert to fraction form
    34,406.80/51,611.28 = 12,219.82/x
  3. Step 3: Cross multiply
    34,406.80x = 51,611.28 × 12,219.82
  4. Step 4: Simplify right side
    34,406.80x = 630,680,551.57
  5. Step 5: Solve for x
    x = 630,680,551.57/34,406.80
  6. Step 6: Final answer
    x = 18,330.11

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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.