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Finding the Fourth Proportional to 76,844, 115,221.72 and 30,071.36

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Solution

The fourth proportional to 76,844, 115,221.72 and 30,071.36 is: 45,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,844 : 115,221.72 = 30,071.36 : x
  2. Step 2: Convert to fraction form
    76,844/115,221.72 = 30,071.36/x
  3. Step 3: Cross multiply
    76,844x = 115,221.72 × 30,071.36
  4. Step 4: Simplify right side
    76,844x = 3,464,873,821.94
  5. Step 5: Solve for x
    x = 3,464,873,821.94/76,844
  6. Step 6: Final answer
    x = 45,089.71

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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.