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Finding the Fourth Proportional to 98,676.63, 148,016.76 and 32,116.50

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Solution

The fourth proportional to 98,676.63, 148,016.76 and 32,116.50 is: 48,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,676.63 : 148,016.76 = 32,116.50 : x
  2. Step 2: Convert to fraction form
    98,676.63/148,016.76 = 32,116.50/x
  3. Step 3: Cross multiply
    98,676.63x = 148,016.76 × 32,116.50
  4. Step 4: Simplify right side
    98,676.63x = 4,753,780,272.54
  5. Step 5: Solve for x
    x = 4,753,780,272.54/98,676.63
  6. Step 6: Final answer
    x = 48,175.34

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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.