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Finding the Fourth Proportional to 47,858.64, 71,820.81 and 16,693.89

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Solution

The fourth proportional to 47,858.64, 71,820.81 and 16,693.89 is: 25,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,858.64 : 71,820.81 = 16,693.89 : x
  2. Step 2: Convert to fraction form
    47,858.64/71,820.81 = 16,693.89/x
  3. Step 3: Cross multiply
    47,858.64x = 71,820.81 × 16,693.89
  4. Step 4: Simplify right side
    47,858.64x = 1,198,968,701.85
  5. Step 5: Solve for x
    x = 1,198,968,701.85/47,858.64
  6. Step 6: Final answer
    x = 25,052.29

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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.