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Finding the Fourth Proportional to 91,783.78, 137,716.97 and 49,614.48

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Solution

The fourth proportional to 91,783.78, 137,716.97 and 49,614.48 is: 74,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,783.78 : 137,716.97 = 49,614.48 : x
  2. Step 2: Convert to fraction form
    91,783.78/137,716.97 = 49,614.48/x
  3. Step 3: Cross multiply
    91,783.78x = 137,716.97 × 49,614.48
  4. Step 4: Simplify right side
    91,783.78x = 6,832,755,605.65
  5. Step 5: Solve for x
    x = 6,832,755,605.65/91,783.78
  6. Step 6: Final answer
    x = 74,444.04

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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.