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Finding the Fourth Proportional to 76,729.68, 115,048.44 and 31,716.36

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Solution

The fourth proportional to 76,729.68, 115,048.44 and 31,716.36 is: 47,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,729.68 : 115,048.44 = 31,716.36 : x
  2. Step 2: Convert to fraction form
    76,729.68/115,048.44 = 31,716.36/x
  3. Step 3: Cross multiply
    76,729.68x = 115,048.44 × 31,716.36
  4. Step 4: Simplify right side
    76,729.68x = 3,648,917,740.48
  5. Step 5: Solve for x
    x = 3,648,917,740.48/76,729.68
  6. Step 6: Final answer
    x = 47,555.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.