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Finding the Fourth Proportional to 72,982.92, 109,477.08 and 32,994.30

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Solution

The fourth proportional to 72,982.92, 109,477.08 and 32,994.30 is: 49,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,982.92 : 109,477.08 = 32,994.30 : x
  2. Step 2: Convert to fraction form
    72,982.92/109,477.08 = 32,994.30/x
  3. Step 3: Cross multiply
    72,982.92x = 109,477.08 × 32,994.30
  4. Step 4: Simplify right side
    72,982.92x = 3,612,119,620.64
  5. Step 5: Solve for x
    x = 3,612,119,620.64/72,982.92
  6. Step 6: Final answer
    x = 49,492.67

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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.