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Finding the Fourth Proportional to 34,174.40, 51,206.40 and 19,339.20

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Solution

The fourth proportional to 34,174.40, 51,206.40 and 19,339.20 is: 28,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,174.40 : 51,206.40 = 19,339.20 : x
  2. Step 2: Convert to fraction form
    34,174.40/51,206.40 = 19,339.20/x
  3. Step 3: Cross multiply
    34,174.40x = 51,206.40 × 19,339.20
  4. Step 4: Simplify right side
    34,174.40x = 990,290,810.88
  5. Step 5: Solve for x
    x = 990,290,810.88/34,174.40
  6. Step 6: Final answer
    x = 28,977.56

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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.