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Finding the Fourth Proportional to 57,199.49, 85,748.20 and 29,103.83

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Solution

The fourth proportional to 57,199.49, 85,748.20 and 29,103.83 is: 43,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,199.49 : 85,748.20 = 29,103.83 : x
  2. Step 2: Convert to fraction form
    57,199.49/85,748.20 = 29,103.83/x
  3. Step 3: Cross multiply
    57,199.49x = 85,748.20 × 29,103.83
  4. Step 4: Simplify right side
    57,199.49x = 2,495,600,534.11
  5. Step 5: Solve for x
    x = 2,495,600,534.11/57,199.49
  6. Step 6: Final answer
    x = 43,629.77

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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.