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Finding the Fourth Proportional to 30,883.35, 42,615.60 and 17,454.57

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Solution

The fourth proportional to 30,883.35, 42,615.60 and 17,454.57 is: 24,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.35 : 42,615.60 = 17,454.57 : x
  2. Step 2: Convert to fraction form
    30,883.35/42,615.60 = 17,454.57/x
  3. Step 3: Cross multiply
    30,883.35x = 42,615.60 × 17,454.57
  4. Step 4: Simplify right side
    30,883.35x = 743,836,973.29
  5. Step 5: Solve for x
    x = 743,836,973.29/30,883.35
  6. Step 6: Final answer
    x = 24,085.37

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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.