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Finding the Fourth Proportional to 68,545.86, 102,827.25 and 33,459

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Solution

The fourth proportional to 68,545.86, 102,827.25 and 33,459 is: 50,192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,545.86 : 102,827.25 = 33,459 : x
  2. Step 2: Convert to fraction form
    68,545.86/102,827.25 = 33,459/x
  3. Step 3: Cross multiply
    68,545.86x = 102,827.25 × 33,459
  4. Step 4: Simplify right side
    68,545.86x = 3,440,496,957.75
  5. Step 5: Solve for x
    x = 3,440,496,957.75/68,545.86
  6. Step 6: Final answer
    x = 50,192.63

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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.