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Finding the Fourth Proportional to 47,351.64, 71,039.03 and 15,761.64

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Solution

The fourth proportional to 47,351.64, 71,039.03 and 15,761.64 is: 23,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,351.64 : 71,039.03 = 15,761.64 : x
  2. Step 2: Convert to fraction form
    47,351.64/71,039.03 = 15,761.64/x
  3. Step 3: Cross multiply
    47,351.64x = 71,039.03 × 15,761.64
  4. Step 4: Simplify right side
    47,351.64x = 1,119,691,538.00
  5. Step 5: Solve for x
    x = 1,119,691,538.00/47,351.64
  6. Step 6: Final answer
    x = 23,646.31

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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.