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Finding the Fourth Proportional to 51,897.44, 71,635.38 and 38,464.40

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Solution

The fourth proportional to 51,897.44, 71,635.38 and 38,464.40 is: 53,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,897.44 : 71,635.38 = 38,464.40 : x
  2. Step 2: Convert to fraction form
    51,897.44/71,635.38 = 38,464.40/x
  3. Step 3: Cross multiply
    51,897.44x = 71,635.38 × 38,464.40
  4. Step 4: Simplify right side
    51,897.44x = 2,755,411,910.47
  5. Step 5: Solve for x
    x = 2,755,411,910.47/51,897.44
  6. Step 6: Final answer
    x = 53,093.41

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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.