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Finding the Fourth Proportional to 87,461.40, 131,201.64 and 32,057.40

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Solution

The fourth proportional to 87,461.40, 131,201.64 and 32,057.40 is: 48,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461.40 : 131,201.64 = 32,057.40 : x
  2. Step 2: Convert to fraction form
    87,461.40/131,201.64 = 32,057.40/x
  3. Step 3: Cross multiply
    87,461.40x = 131,201.64 × 32,057.40
  4. Step 4: Simplify right side
    87,461.40x = 4,205,983,454.14
  5. Step 5: Solve for x
    x = 4,205,983,454.14/87,461.40
  6. Step 6: Final answer
    x = 48,089.60

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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.