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Finding the Fourth Proportional to 51,294.50, 76,784.09 and 43,727.69

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Solution

The fourth proportional to 51,294.50, 76,784.09 and 43,727.69 is: 65,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,294.50 : 76,784.09 = 43,727.69 : x
  2. Step 2: Convert to fraction form
    51,294.50/76,784.09 = 43,727.69/x
  3. Step 3: Cross multiply
    51,294.50x = 76,784.09 × 43,727.69
  4. Step 4: Simplify right side
    51,294.50x = 3,357,590,884.45
  5. Step 5: Solve for x
    x = 3,357,590,884.45/51,294.50
  6. Step 6: Final answer
    x = 65,457.13

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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.