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Finding the Fourth Proportional to 45,782.39, 63,185.53 and 27,876.33

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Solution

The fourth proportional to 45,782.39, 63,185.53 and 27,876.33 is: 38,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,782.39 : 63,185.53 = 27,876.33 : x
  2. Step 2: Convert to fraction form
    45,782.39/63,185.53 = 27,876.33/x
  3. Step 3: Cross multiply
    45,782.39x = 63,185.53 × 27,876.33
  4. Step 4: Simplify right side
    45,782.39x = 1,761,380,685.50
  5. Step 5: Solve for x
    x = 1,761,380,685.50/45,782.39
  6. Step 6: Final answer
    x = 38,472.89

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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.