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Finding the Fourth Proportional to 47,930.22, 71,905.86 and 14,652.87

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Solution

The fourth proportional to 47,930.22, 71,905.86 and 14,652.87 is: 21,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,930.22 : 71,905.86 = 14,652.87 : x
  2. Step 2: Convert to fraction form
    47,930.22/71,905.86 = 14,652.87/x
  3. Step 3: Cross multiply
    47,930.22x = 71,905.86 × 14,652.87
  4. Step 4: Simplify right side
    47,930.22x = 1,053,627,218.82
  5. Step 5: Solve for x
    x = 1,053,627,218.82/47,930.22
  6. Step 6: Final answer
    x = 21,982.52

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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.