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Finding the Fourth Proportional to 102,141.39, 153,212.13 and 32,026.17

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Solution

The fourth proportional to 102,141.39, 153,212.13 and 32,026.17 is: 48,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,141.39 : 153,212.13 = 32,026.17 : x
  2. Step 2: Convert to fraction form
    102,141.39/153,212.13 = 32,026.17/x
  3. Step 3: Cross multiply
    102,141.39x = 153,212.13 × 32,026.17
  4. Step 4: Simplify right side
    102,141.39x = 4,906,797,721.44
  5. Step 5: Solve for x
    x = 4,906,797,721.44/102,141.39
  6. Step 6: Final answer
    x = 48,039.27

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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.