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Finding the Fourth Proportional to 76,882.49, 105,940.37 and 56,707.41

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Solution

The fourth proportional to 76,882.49, 105,940.37 and 56,707.41 is: 78,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,882.49 : 105,940.37 = 56,707.41 : x
  2. Step 2: Convert to fraction form
    76,882.49/105,940.37 = 56,707.41/x
  3. Step 3: Cross multiply
    76,882.49x = 105,940.37 × 56,707.41
  4. Step 4: Simplify right side
    76,882.49x = 6,007,603,997.14
  5. Step 5: Solve for x
    x = 6,007,603,997.14/76,882.49
  6. Step 6: Final answer
    x = 78,140.08

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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.