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Finding the Fourth Proportional to 45,881, 63,335.20 and 27,982.42

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Solution

The fourth proportional to 45,881, 63,335.20 and 27,982.42 is: 38,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,881 : 63,335.20 = 27,982.42 : x
  2. Step 2: Convert to fraction form
    45,881/63,335.20 = 27,982.42/x
  3. Step 3: Cross multiply
    45,881x = 63,335.20 × 27,982.42
  4. Step 4: Simplify right side
    45,881x = 1,772,272,167.18
  5. Step 5: Solve for x
    x = 1,772,272,167.18/45,881
  6. Step 6: Final answer
    x = 38,627.58

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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.