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Finding the Fourth Proportional to 29,887.74, 44,773.28 and 23,283

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Solution

The fourth proportional to 29,887.74, 44,773.28 and 23,283 is: 34,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,887.74 : 44,773.28 = 23,283 : x
  2. Step 2: Convert to fraction form
    29,887.74/44,773.28 = 23,283/x
  3. Step 3: Cross multiply
    29,887.74x = 44,773.28 × 23,283
  4. Step 4: Simplify right side
    29,887.74x = 1,042,456,161.83
  5. Step 5: Solve for x
    x = 1,042,456,161.83/29,887.74
  6. Step 6: Final answer
    x = 34,879.06

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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.