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Finding the Fourth Proportional to 111,943.08, 167,972.94 and 49,599

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Solution

The fourth proportional to 111,943.08, 167,972.94 and 49,599 is: 74,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,943.08 : 167,972.94 = 49,599 : x
  2. Step 2: Convert to fraction form
    111,943.08/167,972.94 = 49,599/x
  3. Step 3: Cross multiply
    111,943.08x = 167,972.94 × 49,599
  4. Step 4: Simplify right side
    111,943.08x = 8,331,289,851.06
  5. Step 5: Solve for x
    x = 8,331,289,851.06/111,943.08
  6. Step 6: Final answer
    x = 74,424.34

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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.