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Finding the Fourth Proportional to 52,969.50, 79,454.25 and 19,697.94

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Solution

The fourth proportional to 52,969.50, 79,454.25 and 19,697.94 is: 29,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,969.50 : 79,454.25 = 19,697.94 : x
  2. Step 2: Convert to fraction form
    52,969.50/79,454.25 = 19,697.94/x
  3. Step 3: Cross multiply
    52,969.50x = 79,454.25 × 19,697.94
  4. Step 4: Simplify right side
    52,969.50x = 1,565,085,049.25
  5. Step 5: Solve for x
    x = 1,565,085,049.25/52,969.50
  6. Step 6: Final answer
    x = 29,546.91

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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.