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Finding the Fourth Proportional to 47,698.38, 71,567.82 and 25,506

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Solution

The fourth proportional to 47,698.38, 71,567.82 and 25,506 is: 38,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.38 : 71,567.82 = 25,506 : x
  2. Step 2: Convert to fraction form
    47,698.38/71,567.82 = 25,506/x
  3. Step 3: Cross multiply
    47,698.38x = 71,567.82 × 25,506
  4. Step 4: Simplify right side
    47,698.38x = 1,825,408,816.92
  5. Step 5: Solve for x
    x = 1,825,408,816.92/47,698.38
  6. Step 6: Final answer
    x = 38,269.83

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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.