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Finding the Fourth Proportional to 98,676.60, 148,016.25 and 32,117.01

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Solution

The fourth proportional to 98,676.60, 148,016.25 and 32,117.01 is: 48,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,676.60 : 148,016.25 = 32,117.01 : x
  2. Step 2: Convert to fraction form
    98,676.60/148,016.25 = 32,117.01/x
  3. Step 3: Cross multiply
    98,676.60x = 148,016.25 × 32,117.01
  4. Step 4: Simplify right side
    98,676.60x = 4,753,839,381.41
  5. Step 5: Solve for x
    x = 4,753,839,381.41/98,676.60
  6. Step 6: Final answer
    x = 48,175.95

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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.