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Finding the Fourth Proportional to 52,819.80, 79,222.25 and 19,534.26

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Solution

The fourth proportional to 52,819.80, 79,222.25 and 19,534.26 is: 29,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,819.80 : 79,222.25 = 19,534.26 : x
  2. Step 2: Convert to fraction form
    52,819.80/79,222.25 = 19,534.26/x
  3. Step 3: Cross multiply
    52,819.80x = 79,222.25 × 19,534.26
  4. Step 4: Simplify right side
    52,819.80x = 1,547,548,375.20
  5. Step 5: Solve for x
    x = 1,547,548,375.20/52,819.80
  6. Step 6: Final answer
    x = 29,298.64

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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.