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Finding the Fourth Proportional to 115,200, 172,809.90 and 32,094

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Solution

The fourth proportional to 115,200, 172,809.90 and 32,094 is: 48,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200 : 172,809.90 = 32,094 : x
  2. Step 2: Convert to fraction form
    115,200/172,809.90 = 32,094/x
  3. Step 3: Cross multiply
    115,200x = 172,809.90 × 32,094
  4. Step 4: Simplify right side
    115,200x = 5,546,160,930.60
  5. Step 5: Solve for x
    x = 5,546,160,930.60/115,200
  6. Step 6: Final answer
    x = 48,143.76

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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.