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Finding the Fourth Proportional to 47,676.20, 71,492.70 and 18,084.20

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Solution

The fourth proportional to 47,676.20, 71,492.70 and 18,084.20 is: 27,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676.20 : 71,492.70 = 18,084.20 : x
  2. Step 2: Convert to fraction form
    47,676.20/71,492.70 = 18,084.20/x
  3. Step 3: Cross multiply
    47,676.20x = 71,492.70 × 18,084.20
  4. Step 4: Simplify right side
    47,676.20x = 1,292,888,285.34
  5. Step 5: Solve for x
    x = 1,292,888,285.34/47,676.20
  6. Step 6: Final answer
    x = 27,118.11

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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.