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Finding the Fourth Proportional to 115,114, 172,680.78 and 32,008

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Solution

The fourth proportional to 115,114, 172,680.78 and 32,008 is: 48,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,114 : 172,680.78 = 32,008 : x
  2. Step 2: Convert to fraction form
    115,114/172,680.78 = 32,008/x
  3. Step 3: Cross multiply
    115,114x = 172,680.78 × 32,008
  4. Step 4: Simplify right side
    115,114x = 5,527,166,406.24
  5. Step 5: Solve for x
    x = 5,527,166,406.24/115,114
  6. Step 6: Final answer
    x = 48,014.72

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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.