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Finding the Fourth Proportional to 47,969.52, 71,975.04 and 25,756.96

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Solution

The fourth proportional to 47,969.52, 71,975.04 and 25,756.96 is: 38,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,969.52 : 71,975.04 = 25,756.96 : x
  2. Step 2: Convert to fraction form
    47,969.52/71,975.04 = 25,756.96/x
  3. Step 3: Cross multiply
    47,969.52x = 71,975.04 × 25,756.96
  4. Step 4: Simplify right side
    47,969.52x = 1,853,858,226.28
  5. Step 5: Solve for x
    x = 1,853,858,226.28/47,969.52
  6. Step 6: Final answer
    x = 38,646.59

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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.