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Finding the Fourth Proportional to 108,546.30, 162,821.13 and 38,376.54

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Solution

The fourth proportional to 108,546.30, 162,821.13 and 38,376.54 is: 57,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,546.30 : 162,821.13 = 38,376.54 : x
  2. Step 2: Convert to fraction form
    108,546.30/162,821.13 = 38,376.54/x
  3. Step 3: Cross multiply
    108,546.30x = 162,821.13 × 38,376.54
  4. Step 4: Simplify right side
    108,546.30x = 6,248,511,608.29
  5. Step 5: Solve for x
    x = 6,248,511,608.29/108,546.30
  6. Step 6: Final answer
    x = 57,565.40

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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.