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Finding the Fourth Proportional to 34,208.70, 51,203.70 and 24,367.20

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Solution

The fourth proportional to 34,208.70, 51,203.70 and 24,367.20 is: 36,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,208.70 : 51,203.70 = 24,367.20 : x
  2. Step 2: Convert to fraction form
    34,208.70/51,203.70 = 24,367.20/x
  3. Step 3: Cross multiply
    34,208.70x = 51,203.70 × 24,367.20
  4. Step 4: Simplify right side
    34,208.70x = 1,247,690,798.64
  5. Step 5: Solve for x
    x = 1,247,690,798.64/34,208.70
  6. Step 6: Final answer
    x = 36,472.91

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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.