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Finding the Fourth Proportional to 111,924.48, 167,945.02 and 49,580.40

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Solution

The fourth proportional to 111,924.48, 167,945.02 and 49,580.40 is: 74,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,924.48 : 167,945.02 = 49,580.40 : x
  2. Step 2: Convert to fraction form
    111,924.48/167,945.02 = 49,580.40/x
  3. Step 3: Cross multiply
    111,924.48x = 167,945.02 × 49,580.40
  4. Step 4: Simplify right side
    111,924.48x = 8,326,781,269.61
  5. Step 5: Solve for x
    x = 8,326,781,269.61/111,924.48
  6. Step 6: Final answer
    x = 74,396.43

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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.