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Finding the Fourth Proportional to 30,880.56, 42,615 and 16,733.40

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Solution

The fourth proportional to 30,880.56, 42,615 and 16,733.40 is: 23,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.56 : 42,615 = 16,733.40 : x
  2. Step 2: Convert to fraction form
    30,880.56/42,615 = 16,733.40/x
  3. Step 3: Cross multiply
    30,880.56x = 42,615 × 16,733.40
  4. Step 4: Simplify right side
    30,880.56x = 713,093,841.00
  5. Step 5: Solve for x
    x = 713,093,841.00/30,880.56
  6. Step 6: Final answer
    x = 23,092.00

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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.