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Finding the Fourth Proportional to 63,842, 95,763 and 20,066

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Solution

The fourth proportional to 63,842, 95,763 and 20,066 is: 30,099

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,842 : 95,763 = 20,066 : x
  2. Step 2: Convert to fraction form
    63,842/95,763 = 20,066/x
  3. Step 3: Cross multiply
    63,842x = 95,763 × 20,066
  4. Step 4: Simplify right side
    63,842x = 1,921,580,358
  5. Step 5: Solve for x
    x = 1,921,580,358/63,842
  6. Step 6: Final answer
    x = 30,099

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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.