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Finding the Fourth Proportional to 87,157, 130,754.94 and 31,753

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Solution

The fourth proportional to 87,157, 130,754.94 and 31,753 is: 47,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,157 : 130,754.94 = 31,753 : x
  2. Step 2: Convert to fraction form
    87,157/130,754.94 = 31,753/x
  3. Step 3: Cross multiply
    87,157x = 130,754.94 × 31,753
  4. Step 4: Simplify right side
    87,157x = 4,151,861,609.82
  5. Step 5: Solve for x
    x = 4,151,861,609.82/87,157
  6. Step 6: Final answer
    x = 47,636.58

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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.