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Finding the Fourth Proportional to 34,340.40, 51,539.40 and 16,825.20

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Solution

The fourth proportional to 34,340.40, 51,539.40 and 16,825.20 is: 25,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,340.40 : 51,539.40 = 16,825.20 : x
  2. Step 2: Convert to fraction form
    34,340.40/51,539.40 = 16,825.20/x
  3. Step 3: Cross multiply
    34,340.40x = 51,539.40 × 16,825.20
  4. Step 4: Simplify right side
    34,340.40x = 867,160,712.88
  5. Step 5: Solve for x
    x = 867,160,712.88/34,340.40
  6. Step 6: Final answer
    x = 25,251.91

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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.