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Finding the Fourth Proportional to 45,865.86, 63,301.81 and 27,971.25

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Solution

The fourth proportional to 45,865.86, 63,301.81 and 27,971.25 is: 38,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,865.86 : 63,301.81 = 27,971.25 : x
  2. Step 2: Convert to fraction form
    45,865.86/63,301.81 = 27,971.25/x
  3. Step 3: Cross multiply
    45,865.86x = 63,301.81 × 27,971.25
  4. Step 4: Simplify right side
    45,865.86x = 1,770,630,664.64
  5. Step 5: Solve for x
    x = 1,770,630,664.64/45,865.86
  6. Step 6: Final answer
    x = 38,604.54

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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.