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Finding the Fourth Proportional to 77,986.13, 107,571.31 and 51,130.38

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Solution

The fourth proportional to 77,986.13, 107,571.31 and 51,130.38 is: 70,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,986.13 : 107,571.31 = 51,130.38 : x
  2. Step 2: Convert to fraction form
    77,986.13/107,571.31 = 51,130.38/x
  3. Step 3: Cross multiply
    77,986.13x = 107,571.31 × 51,130.38
  4. Step 4: Simplify right side
    77,986.13x = 5,500,161,957.40
  5. Step 5: Solve for x
    x = 5,500,161,957.40/77,986.13
  6. Step 6: Final answer
    x = 70,527.44

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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.