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Finding the Fourth Proportional to 111,972.70, 167,959.05 and 49,643.20

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Solution

The fourth proportional to 111,972.70, 167,959.05 and 49,643.20 is: 74,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,972.70 : 167,959.05 = 49,643.20 : x
  2. Step 2: Convert to fraction form
    111,972.70/167,959.05 = 49,643.20/x
  3. Step 3: Cross multiply
    111,972.70x = 167,959.05 × 49,643.20
  4. Step 4: Simplify right side
    111,972.70x = 8,338,024,710.96
  5. Step 5: Solve for x
    x = 8,338,024,710.96/111,972.70
  6. Step 6: Final answer
    x = 74,464.80

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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.