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Finding the Fourth Proportional to 52,942.80, 79,447.10 and 32,991.45

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Solution

The fourth proportional to 52,942.80, 79,447.10 and 32,991.45 is: 49,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,942.80 : 79,447.10 = 32,991.45 : x
  2. Step 2: Convert to fraction form
    52,942.80/79,447.10 = 32,991.45/x
  3. Step 3: Cross multiply
    52,942.80x = 79,447.10 × 32,991.45
  4. Step 4: Simplify right side
    52,942.80x = 2,621,074,862.34
  5. Step 5: Solve for x
    x = 2,621,074,862.34/52,942.80
  6. Step 6: Final answer
    x = 49,507.67

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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.