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Finding the Fourth Proportional to 57,269.63, 85,883.84 and 19,819.52

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Solution

The fourth proportional to 57,269.63, 85,883.84 and 19,819.52 is: 29,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,269.63 : 85,883.84 = 19,819.52 : x
  2. Step 2: Convert to fraction form
    57,269.63/85,883.84 = 19,819.52/x
  3. Step 3: Cross multiply
    57,269.63x = 85,883.84 × 19,819.52
  4. Step 4: Simplify right side
    57,269.63x = 1,702,175,956.04
  5. Step 5: Solve for x
    x = 1,702,175,956.04/57,269.63
  6. Step 6: Final answer
    x = 29,722.14

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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.