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Finding the Fourth Proportional to 34,522.92, 47,659.41 and 20,380.32

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Solution

The fourth proportional to 34,522.92, 47,659.41 and 20,380.32 is: 28,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,522.92 : 47,659.41 = 20,380.32 : x
  2. Step 2: Convert to fraction form
    34,522.92/47,659.41 = 20,380.32/x
  3. Step 3: Cross multiply
    34,522.92x = 47,659.41 × 20,380.32
  4. Step 4: Simplify right side
    34,522.92x = 971,314,026.81
  5. Step 5: Solve for x
    x = 971,314,026.81/34,522.92
  6. Step 6: Final answer
    x = 28,135.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.