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Finding the Fourth Proportional to 51,493.14, 71,044.02 and 28,828.80

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Solution

The fourth proportional to 51,493.14, 71,044.02 and 28,828.80 is: 39,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,493.14 : 71,044.02 = 28,828.80 : x
  2. Step 2: Convert to fraction form
    51,493.14/71,044.02 = 28,828.80/x
  3. Step 3: Cross multiply
    51,493.14x = 71,044.02 × 28,828.80
  4. Step 4: Simplify right side
    51,493.14x = 2,048,113,843.78
  5. Step 5: Solve for x
    x = 2,048,113,843.78/51,493.14
  6. Step 6: Final answer
    x = 39,774.50

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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.