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Finding the Fourth Proportional to 38,333.57, 57,495.82 and 10,255.80

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Solution

The fourth proportional to 38,333.57, 57,495.82 and 10,255.80 is: 15,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,333.57 : 57,495.82 = 10,255.80 : x
  2. Step 2: Convert to fraction form
    38,333.57/57,495.82 = 10,255.80/x
  3. Step 3: Cross multiply
    38,333.57x = 57,495.82 × 10,255.80
  4. Step 4: Simplify right side
    38,333.57x = 589,665,630.76
  5. Step 5: Solve for x
    x = 589,665,630.76/38,333.57
  6. Step 6: Final answer
    x = 15,382.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.