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Finding the Fourth Proportional to 30,729.68, 42,406.49 and 17,300.89

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Solution

The fourth proportional to 30,729.68, 42,406.49 and 17,300.89 is: 23,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.68 : 42,406.49 = 17,300.89 : x
  2. Step 2: Convert to fraction form
    30,729.68/42,406.49 = 17,300.89/x
  3. Step 3: Cross multiply
    30,729.68x = 42,406.49 × 17,300.89
  4. Step 4: Simplify right side
    30,729.68x = 733,670,017.72
  5. Step 5: Solve for x
    x = 733,670,017.72/30,729.68
  6. Step 6: Final answer
    x = 23,874.97

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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.