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Finding the Fourth Proportional to 47,591.55, 71,419.62 and 25,420.83

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Solution

The fourth proportional to 47,591.55, 71,419.62 and 25,420.83 is: 38,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,591.55 : 71,419.62 = 25,420.83 : x
  2. Step 2: Convert to fraction form
    47,591.55/71,419.62 = 25,420.83/x
  3. Step 3: Cross multiply
    47,591.55x = 71,419.62 × 25,420.83
  4. Step 4: Simplify right side
    47,591.55x = 1,815,546,018.68
  5. Step 5: Solve for x
    x = 1,815,546,018.68/47,591.55
  6. Step 6: Final answer
    x = 38,148.50

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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.