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Finding the Fourth Proportional to 47,564.20, 71,346.26 and 16,397

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Solution

The fourth proportional to 47,564.20, 71,346.26 and 16,397 is: 24,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,564.20 : 71,346.26 = 16,397 : x
  2. Step 2: Convert to fraction form
    47,564.20/71,346.26 = 16,397/x
  3. Step 3: Cross multiply
    47,564.20x = 71,346.26 × 16,397
  4. Step 4: Simplify right side
    47,564.20x = 1,169,864,625.22
  5. Step 5: Solve for x
    x = 1,169,864,625.22/47,564.20
  6. Step 6: Final answer
    x = 24,595.49

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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.