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Finding the Fourth Proportional to 57,049, 85,584.90 and 17,604.63

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Solution

The fourth proportional to 57,049, 85,584.90 and 17,604.63 is: 26,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049 : 85,584.90 = 17,604.63 : x
  2. Step 2: Convert to fraction form
    57,049/85,584.90 = 17,604.63/x
  3. Step 3: Cross multiply
    57,049x = 85,584.90 × 17,604.63
  4. Step 4: Simplify right side
    57,049x = 1,506,690,498.09
  5. Step 5: Solve for x
    x = 1,506,690,498.09/57,049
  6. Step 6: Final answer
    x = 26,410.46

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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.