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Finding the Fourth Proportional to 53,642, 80,476 and 16,706

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Solution

The fourth proportional to 53,642, 80,476 and 16,706 is: 25,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642 : 80,476 = 16,706 : x
  2. Step 2: Convert to fraction form
    53,642/80,476 = 16,706/x
  3. Step 3: Cross multiply
    53,642x = 80,476 × 16,706
  4. Step 4: Simplify right side
    53,642x = 1,344,432,056
  5. Step 5: Solve for x
    x = 1,344,432,056/53,642
  6. Step 6: Final answer
    x = 25,063.05

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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.