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Finding the Fourth Proportional to 30,759.75, 42,448.59 and 17,841.57

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Solution

The fourth proportional to 30,759.75, 42,448.59 and 17,841.57 is: 24,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,759.75 : 42,448.59 = 17,841.57 : x
  2. Step 2: Convert to fraction form
    30,759.75/42,448.59 = 17,841.57/x
  3. Step 3: Cross multiply
    30,759.75x = 42,448.59 × 17,841.57
  4. Step 4: Simplify right side
    30,759.75x = 757,349,489.89
  5. Step 5: Solve for x
    x = 757,349,489.89/30,759.75
  6. Step 6: Final answer
    x = 24,621.44

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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.