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Finding the Fourth Proportional to 53,468, 80,202 and 16,532

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Solution

The fourth proportional to 53,468, 80,202 and 16,532 is: 24,798

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,468 : 80,202 = 16,532 : x
  2. Step 2: Convert to fraction form
    53,468/80,202 = 16,532/x
  3. Step 3: Cross multiply
    53,468x = 80,202 × 16,532
  4. Step 4: Simplify right side
    53,468x = 1,325,899,464
  5. Step 5: Solve for x
    x = 1,325,899,464/53,468
  6. Step 6: Final answer
    x = 24,798

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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.