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Finding the Fourth Proportional to 102,137.22, 153,230.42 and 32,016.53

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Solution

The fourth proportional to 102,137.22, 153,230.42 and 32,016.53 is: 48,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,137.22 : 153,230.42 = 32,016.53 : x
  2. Step 2: Convert to fraction form
    102,137.22/153,230.42 = 32,016.53/x
  3. Step 3: Cross multiply
    102,137.22x = 153,230.42 × 32,016.53
  4. Step 4: Simplify right side
    102,137.22x = 4,905,906,801.96
  5. Step 5: Solve for x
    x = 4,905,906,801.96/102,137.22
  6. Step 6: Final answer
    x = 48,032.51

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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.