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Finding the Fourth Proportional to 71,796.19, 107,597.23 and 51,839.81

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Solution

The fourth proportional to 71,796.19, 107,597.23 and 51,839.81 is: 77,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,796.19 : 107,597.23 = 51,839.81 : x
  2. Step 2: Convert to fraction form
    71,796.19/107,597.23 = 51,839.81/x
  3. Step 3: Cross multiply
    71,796.19x = 107,597.23 × 51,839.81
  4. Step 4: Simplify right side
    71,796.19x = 5,577,819,959.73
  5. Step 5: Solve for x
    x = 5,577,819,959.73/71,796.19
  6. Step 6: Final answer
    x = 77,689.64

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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.