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Finding the Fourth Proportional to 115,115, 172,682.28 and 32,009

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Solution

The fourth proportional to 115,115, 172,682.28 and 32,009 is: 48,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,115 : 172,682.28 = 32,009 : x
  2. Step 2: Convert to fraction form
    115,115/172,682.28 = 32,009/x
  3. Step 3: Cross multiply
    115,115x = 172,682.28 × 32,009
  4. Step 4: Simplify right side
    115,115x = 5,527,387,100.52
  5. Step 5: Solve for x
    x = 5,527,387,100.52/115,115
  6. Step 6: Final answer
    x = 48,016.22

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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.