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Finding the Fourth Proportional to 51,116.34, 70,524.63 and 29,893.26

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Solution

The fourth proportional to 51,116.34, 70,524.63 and 29,893.26 is: 41,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,116.34 : 70,524.63 = 29,893.26 : x
  2. Step 2: Convert to fraction form
    51,116.34/70,524.63 = 29,893.26/x
  3. Step 3: Cross multiply
    51,116.34x = 70,524.63 × 29,893.26
  4. Step 4: Simplify right side
    51,116.34x = 2,108,211,100.99
  5. Step 5: Solve for x
    x = 2,108,211,100.99/51,116.34
  6. Step 6: Final answer
    x = 41,243.39

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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.