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Finding the Fourth Proportional to 115,096.20, 172,654.42 and 35,152.21

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Solution

The fourth proportional to 115,096.20, 172,654.42 and 35,152.21 is: 52,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,096.20 : 172,654.42 = 35,152.21 : x
  2. Step 2: Convert to fraction form
    115,096.20/172,654.42 = 35,152.21/x
  3. Step 3: Cross multiply
    115,096.20x = 172,654.42 × 35,152.21
  4. Step 4: Simplify right side
    115,096.20x = 6,069,184,407.22
  5. Step 5: Solve for x
    x = 6,069,184,407.22/115,096.20
  6. Step 6: Final answer
    x = 52,731.41

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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.