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Finding the Fourth Proportional to 52,709.70, 79,095.74 and 19,452.92

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Solution

The fourth proportional to 52,709.70, 79,095.74 and 19,452.92 is: 29,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,709.70 : 79,095.74 = 19,452.92 : x
  2. Step 2: Convert to fraction form
    52,709.70/79,095.74 = 19,452.92/x
  3. Step 3: Cross multiply
    52,709.70x = 79,095.74 × 19,452.92
  4. Step 4: Simplify right side
    52,709.70x = 1,538,643,102.56
  5. Step 5: Solve for x
    x = 1,538,643,102.56/52,709.70
  6. Step 6: Final answer
    x = 29,190.89

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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.