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Finding the Fourth Proportional to 42,586.44, 63,871.42 and 16,285

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Solution

The fourth proportional to 42,586.44, 63,871.42 and 16,285 is: 24,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,586.44 : 63,871.42 = 16,285 : x
  2. Step 2: Convert to fraction form
    42,586.44/63,871.42 = 16,285/x
  3. Step 3: Cross multiply
    42,586.44x = 63,871.42 × 16,285
  4. Step 4: Simplify right side
    42,586.44x = 1,040,146,074.70
  5. Step 5: Solve for x
    x = 1,040,146,074.70/42,586.44
  6. Step 6: Final answer
    x = 24,424.35

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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.