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Finding the Fourth Proportional to 47,465.62, 71,205.81 and 15,865.90

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Solution

The fourth proportional to 47,465.62, 71,205.81 and 15,865.90 is: 23,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,465.62 : 71,205.81 = 15,865.90 : x
  2. Step 2: Convert to fraction form
    47,465.62/71,205.81 = 15,865.90/x
  3. Step 3: Cross multiply
    47,465.62x = 71,205.81 × 15,865.90
  4. Step 4: Simplify right side
    47,465.62x = 1,129,744,260.88
  5. Step 5: Solve for x
    x = 1,129,744,260.88/47,465.62
  6. Step 6: Final answer
    x = 23,801.32

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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.