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Finding the Fourth Proportional to 30,311.31, 41,828.55 and 16,881.87

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Solution

The fourth proportional to 30,311.31, 41,828.55 and 16,881.87 is: 23,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.31 : 41,828.55 = 16,881.87 : x
  2. Step 2: Convert to fraction form
    30,311.31/41,828.55 = 16,881.87/x
  3. Step 3: Cross multiply
    30,311.31x = 41,828.55 × 16,881.87
  4. Step 4: Simplify right side
    30,311.31x = 706,144,096.61
  5. Step 5: Solve for x
    x = 706,144,096.61/30,311.31
  6. Step 6: Final answer
    x = 23,296.39

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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.