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Finding the Fourth Proportional to 30,711.83, 42,381.84 and 17,283.08

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Solution

The fourth proportional to 30,711.83, 42,381.84 and 17,283.08 is: 23,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.83 : 42,381.84 = 17,283.08 : x
  2. Step 2: Convert to fraction form
    30,711.83/42,381.84 = 17,283.08/x
  3. Step 3: Cross multiply
    30,711.83x = 42,381.84 × 17,283.08
  4. Step 4: Simplify right side
    30,711.83x = 732,488,644.85
  5. Step 5: Solve for x
    x = 732,488,644.85/30,711.83
  6. Step 6: Final answer
    x = 23,850.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.