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Finding the Fourth Proportional to 107,874.86, 161,813.79 and 41,318.36

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Solution

The fourth proportional to 107,874.86, 161,813.79 and 41,318.36 is: 61,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,874.86 : 161,813.79 = 41,318.36 : x
  2. Step 2: Convert to fraction form
    107,874.86/161,813.79 = 41,318.36/x
  3. Step 3: Cross multiply
    107,874.86x = 161,813.79 × 41,318.36
  4. Step 4: Simplify right side
    107,874.86x = 6,685,880,428.18
  5. Step 5: Solve for x
    x = 6,685,880,428.18/107,874.86
  6. Step 6: Final answer
    x = 61,978.11

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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.