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Finding the Fourth Proportional to 76,898, 106,119.24 and 43,366.16

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Solution

The fourth proportional to 76,898, 106,119.24 and 43,366.16 is: 59,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,898 : 106,119.24 = 43,366.16 : x
  2. Step 2: Convert to fraction form
    76,898/106,119.24 = 43,366.16/x
  3. Step 3: Cross multiply
    76,898x = 106,119.24 × 43,366.16
  4. Step 4: Simplify right side
    76,898x = 4,601,983,940.92
  5. Step 5: Solve for x
    x = 4,601,983,940.92/76,898
  6. Step 6: Final answer
    x = 59,845.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.