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Finding the Fourth Proportional to 47,176, 65,100 and 25,957.60

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Solution

The fourth proportional to 47,176, 65,100 and 25,957.60 is: 35,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,176 : 65,100 = 25,957.60 : x
  2. Step 2: Convert to fraction form
    47,176/65,100 = 25,957.60/x
  3. Step 3: Cross multiply
    47,176x = 65,100 × 25,957.60
  4. Step 4: Simplify right side
    47,176x = 1,689,839,760
  5. Step 5: Solve for x
    x = 1,689,839,760/47,176
  6. Step 6: Final answer
    x = 35,819.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.