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Finding the Fourth Proportional to 52,819.72, 79,236.06 and 19,534.12

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Solution

The fourth proportional to 52,819.72, 79,236.06 and 19,534.12 is: 29,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,819.72 : 79,236.06 = 19,534.12 : x
  2. Step 2: Convert to fraction form
    52,819.72/79,236.06 = 19,534.12/x
  3. Step 3: Cross multiply
    52,819.72x = 79,236.06 × 19,534.12
  4. Step 4: Simplify right side
    52,819.72x = 1,547,806,704.37
  5. Step 5: Solve for x
    x = 1,547,806,704.37/52,819.72
  6. Step 6: Final answer
    x = 29,303.58

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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.