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Finding the Fourth Proportional to 108,902.92, 163,371.68 and 37,847.28

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Solution

The fourth proportional to 108,902.92, 163,371.68 and 37,847.28 is: 56,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,902.92 : 163,371.68 = 37,847.28 : x
  2. Step 2: Convert to fraction form
    108,902.92/163,371.68 = 37,847.28/x
  3. Step 3: Cross multiply
    108,902.92x = 163,371.68 × 37,847.28
  4. Step 4: Simplify right side
    108,902.92x = 6,183,173,717.03
  5. Step 5: Solve for x
    x = 6,183,173,717.03/108,902.92
  6. Step 6: Final answer
    x = 56,776.93

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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.