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Finding the Fourth Proportional to 47,152.89, 70,671.02 and 23,786.01

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Solution

The fourth proportional to 47,152.89, 70,671.02 and 23,786.01 is: 35,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152.89 : 70,671.02 = 23,786.01 : x
  2. Step 2: Convert to fraction form
    47,152.89/70,671.02 = 23,786.01/x
  3. Step 3: Cross multiply
    47,152.89x = 70,671.02 × 23,786.01
  4. Step 4: Simplify right side
    47,152.89x = 1,680,981,469.50
  5. Step 5: Solve for x
    x = 1,680,981,469.50/47,152.89
  6. Step 6: Final answer
    x = 35,649.60

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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.