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Finding the Fourth Proportional to 45,827, 63,241.12 and 27,922

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Solution

The fourth proportional to 45,827, 63,241.12 and 27,922 is: 38,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,827 : 63,241.12 = 27,922 : x
  2. Step 2: Convert to fraction form
    45,827/63,241.12 = 27,922/x
  3. Step 3: Cross multiply
    45,827x = 63,241.12 × 27,922
  4. Step 4: Simplify right side
    45,827x = 1,765,818,552.64
  5. Step 5: Solve for x
    x = 1,765,818,552.64/45,827
  6. Step 6: Final answer
    x = 38,532.27

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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.