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Finding the Fourth Proportional to 47,481.84, 71,172.54 and 17,886.88

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Solution

The fourth proportional to 47,481.84, 71,172.54 and 17,886.88 is: 26,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,481.84 : 71,172.54 = 17,886.88 : x
  2. Step 2: Convert to fraction form
    47,481.84/71,172.54 = 17,886.88/x
  3. Step 3: Cross multiply
    47,481.84x = 71,172.54 × 17,886.88
  4. Step 4: Simplify right side
    47,481.84x = 1,273,054,682.28
  5. Step 5: Solve for x
    x = 1,273,054,682.28/47,481.84
  6. Step 6: Final answer
    x = 26,811.40

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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.