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Finding the Fourth Proportional to 37,223.92, 51,367.80 and 20,455.84

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Solution

The fourth proportional to 37,223.92, 51,367.80 and 20,455.84 is: 28,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,223.92 : 51,367.80 = 20,455.84 : x
  2. Step 2: Convert to fraction form
    37,223.92/51,367.80 = 20,455.84/x
  3. Step 3: Cross multiply
    37,223.92x = 51,367.80 × 20,455.84
  4. Step 4: Simplify right side
    37,223.92x = 1,050,771,497.95
  5. Step 5: Solve for x
    x = 1,050,771,497.95/37,223.92
  6. Step 6: Final answer
    x = 28,228.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.