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Finding the Fourth Proportional to 51,274.65, 76,911.94 and 26,300.80

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Solution

The fourth proportional to 51,274.65, 76,911.94 and 26,300.80 is: 39,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,274.65 : 76,911.94 = 26,300.80 : x
  2. Step 2: Convert to fraction form
    51,274.65/76,911.94 = 26,300.80/x
  3. Step 3: Cross multiply
    51,274.65x = 76,911.94 × 26,300.80
  4. Step 4: Simplify right side
    51,274.65x = 2,022,845,035.49
  5. Step 5: Solve for x
    x = 2,022,845,035.49/51,274.65
  6. Step 6: Final answer
    x = 39,451.17

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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.