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Finding the Fourth Proportional to 87,076.30, 130,672.68 and 31,672.30

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Solution

The fourth proportional to 87,076.30, 130,672.68 and 31,672.30 is: 47,529.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,076.30 : 130,672.68 = 31,672.30 : x
  2. Step 2: Convert to fraction form
    87,076.30/130,672.68 = 31,672.30/x
  3. Step 3: Cross multiply
    87,076.30x = 130,672.68 × 31,672.30
  4. Step 4: Simplify right side
    87,076.30x = 4,138,704,322.76
  5. Step 5: Solve for x
    x = 4,138,704,322.76/87,076.30
  6. Step 6: Final answer
    x = 47,529.63

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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.