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Finding the Fourth Proportional to 87,231.60, 130,847.40 and 31,820.40

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Solution

The fourth proportional to 87,231.60, 130,847.40 and 31,820.40 is: 47,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,231.60 : 130,847.40 = 31,820.40 : x
  2. Step 2: Convert to fraction form
    87,231.60/130,847.40 = 31,820.40/x
  3. Step 3: Cross multiply
    87,231.60x = 130,847.40 × 31,820.40
  4. Step 4: Simplify right side
    87,231.60x = 4,163,616,606.96
  5. Step 5: Solve for x
    x = 4,163,616,606.96/87,231.60
  6. Step 6: Final answer
    x = 47,730.60

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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.