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Finding the Fourth Proportional to 73,989.81, 102,106.98 and 43,774.38

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Solution

The fourth proportional to 73,989.81, 102,106.98 and 43,774.38 is: 60,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,989.81 : 102,106.98 = 43,774.38 : x
  2. Step 2: Convert to fraction form
    73,989.81/102,106.98 = 43,774.38/x
  3. Step 3: Cross multiply
    73,989.81x = 102,106.98 × 43,774.38
  4. Step 4: Simplify right side
    73,989.81x = 4,469,669,743.17
  5. Step 5: Solve for x
    x = 4,469,669,743.17/73,989.81
  6. Step 6: Final answer
    x = 60,409.26

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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.