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Finding the Fourth Proportional to 78,563.52, 117,863.04 and 25,978.56

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Solution

The fourth proportional to 78,563.52, 117,863.04 and 25,978.56 is: 38,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,563.52 : 117,863.04 = 25,978.56 : x
  2. Step 2: Convert to fraction form
    78,563.52/117,863.04 = 25,978.56/x
  3. Step 3: Cross multiply
    78,563.52x = 117,863.04 × 25,978.56
  4. Step 4: Simplify right side
    78,563.52x = 3,061,912,056.42
  5. Step 5: Solve for x
    x = 3,061,912,056.42/78,563.52
  6. Step 6: Final answer
    x = 38,973.71

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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.