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Finding the Fourth Proportional to 38,458.96, 57,706.20 and 15,091.60

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Solution

The fourth proportional to 38,458.96, 57,706.20 and 15,091.60 is: 22,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458.96 : 57,706.20 = 15,091.60 : x
  2. Step 2: Convert to fraction form
    38,458.96/57,706.20 = 15,091.60/x
  3. Step 3: Cross multiply
    38,458.96x = 57,706.20 × 15,091.60
  4. Step 4: Simplify right side
    38,458.96x = 870,878,887.92
  5. Step 5: Solve for x
    x = 870,878,887.92/38,458.96
  6. Step 6: Final answer
    x = 22,644.37

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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.