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Finding the Fourth Proportional to 29,780, 41,096.42 and 16,532

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Solution

The fourth proportional to 29,780, 41,096.42 and 16,532 is: 22,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780 : 41,096.42 = 16,532 : x
  2. Step 2: Convert to fraction form
    29,780/41,096.42 = 16,532/x
  3. Step 3: Cross multiply
    29,780x = 41,096.42 × 16,532
  4. Step 4: Simplify right side
    29,780x = 679,406,015.44
  5. Step 5: Solve for x
    x = 679,406,015.44/29,780
  6. Step 6: Final answer
    x = 22,814.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.