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Finding the Fourth Proportional to 47,406.92, 70,956.07 and 34,922.03

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Solution

The fourth proportional to 47,406.92, 70,956.07 and 34,922.03 is: 52,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406.92 : 70,956.07 = 34,922.03 : x
  2. Step 2: Convert to fraction form
    47,406.92/70,956.07 = 34,922.03/x
  3. Step 3: Cross multiply
    47,406.92x = 70,956.07 × 34,922.03
  4. Step 4: Simplify right side
    47,406.92x = 2,477,929,563.14
  5. Step 5: Solve for x
    x = 2,477,929,563.14/47,406.92
  6. Step 6: Final answer
    x = 52,269.37

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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.