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Finding the Fourth Proportional to 47,978.25, 71,983.30 and 14,698.64

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Solution

The fourth proportional to 47,978.25, 71,983.30 and 14,698.64 is: 22,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.25 : 71,983.30 = 14,698.64 : x
  2. Step 2: Convert to fraction form
    47,978.25/71,983.30 = 14,698.64/x
  3. Step 3: Cross multiply
    47,978.25x = 71,983.30 × 14,698.64
  4. Step 4: Simplify right side
    47,978.25x = 1,058,056,581.03
  5. Step 5: Solve for x
    x = 1,058,056,581.03/47,978.25
  6. Step 6: Final answer
    x = 22,052.84

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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.