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Finding the Fourth Proportional to 87,825, 131,737.53 and 32,421

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Solution

The fourth proportional to 87,825, 131,737.53 and 32,421 is: 48,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,825 : 131,737.53 = 32,421 : x
  2. Step 2: Convert to fraction form
    87,825/131,737.53 = 32,421/x
  3. Step 3: Cross multiply
    87,825x = 131,737.53 × 32,421
  4. Step 4: Simplify right side
    87,825x = 4,271,062,460.13
  5. Step 5: Solve for x
    x = 4,271,062,460.13/87,825
  6. Step 6: Final answer
    x = 48,631.51

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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.