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Finding the Fourth Proportional to 57,175.60, 85,763.58 and 14,481

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Solution

The fourth proportional to 57,175.60, 85,763.58 and 14,481 is: 21,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,175.60 : 85,763.58 = 14,481 : x
  2. Step 2: Convert to fraction form
    57,175.60/85,763.58 = 14,481/x
  3. Step 3: Cross multiply
    57,175.60x = 85,763.58 × 14,481
  4. Step 4: Simplify right side
    57,175.60x = 1,241,942,401.98
  5. Step 5: Solve for x
    x = 1,241,942,401.98/57,175.60
  6. Step 6: Final answer
    x = 21,721.55

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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.