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Finding the Fourth Proportional to 108,181.64, 162,286.11 and 37,085

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Solution

The fourth proportional to 108,181.64, 162,286.11 and 37,085 is: 55,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,181.64 : 162,286.11 = 37,085 : x
  2. Step 2: Convert to fraction form
    108,181.64/162,286.11 = 37,085/x
  3. Step 3: Cross multiply
    108,181.64x = 162,286.11 × 37,085
  4. Step 4: Simplify right side
    108,181.64x = 6,018,380,389.35
  5. Step 5: Solve for x
    x = 6,018,380,389.35/108,181.64
  6. Step 6: Final answer
    x = 55,632.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.