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Finding the Fourth Proportional to 47,671.82, 71,492.03 and 16,073.34

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Solution

The fourth proportional to 47,671.82, 71,492.03 and 16,073.34 is: 24,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671.82 : 71,492.03 = 16,073.34 : x
  2. Step 2: Convert to fraction form
    47,671.82/71,492.03 = 16,073.34/x
  3. Step 3: Cross multiply
    47,671.82x = 71,492.03 × 16,073.34
  4. Step 4: Simplify right side
    47,671.82x = 1,149,115,625.11
  5. Step 5: Solve for x
    x = 1,149,115,625.11/47,671.82
  6. Step 6: Final answer
    x = 24,104.72

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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.