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Finding the Fourth Proportional to 51,252, 76,887.29 and 23,185.27

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Solution

The fourth proportional to 51,252, 76,887.29 and 23,185.27 is: 34,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,252 : 76,887.29 = 23,185.27 : x
  2. Step 2: Convert to fraction form
    51,252/76,887.29 = 23,185.27/x
  3. Step 3: Cross multiply
    51,252x = 76,887.29 × 23,185.27
  4. Step 4: Simplify right side
    51,252x = 1,782,652,578.22
  5. Step 5: Solve for x
    x = 1,782,652,578.22/51,252
  6. Step 6: Final answer
    x = 34,782.11

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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.