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Finding the Fourth Proportional to 76,704, 115,057.44 and 21,301.44

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Solution

The fourth proportional to 76,704, 115,057.44 and 21,301.44 is: 31,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,704 : 115,057.44 = 21,301.44 : x
  2. Step 2: Convert to fraction form
    76,704/115,057.44 = 21,301.44/x
  3. Step 3: Cross multiply
    76,704x = 115,057.44 × 21,301.44
  4. Step 4: Simplify right side
    76,704x = 2,450,889,154.71
  5. Step 5: Solve for x
    x = 2,450,889,154.71/76,704
  6. Step 6: Final answer
    x = 31,952.56

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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.