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Finding the Fourth Proportional to 187,766.34, 281,649.71 and 47,524.96

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Solution

The fourth proportional to 187,766.34, 281,649.71 and 47,524.96 is: 71,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,766.34 : 281,649.71 = 47,524.96 : x
  2. Step 2: Convert to fraction form
    187,766.34/281,649.71 = 47,524.96/x
  3. Step 3: Cross multiply
    187,766.34x = 281,649.71 × 47,524.96
  4. Step 4: Simplify right side
    187,766.34x = 13,385,391,201.76
  5. Step 5: Solve for x
    x = 13,385,391,201.76/187,766.34
  6. Step 6: Final answer
    x = 71,287.49

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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.