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Finding the Fourth Proportional to 76,828.80, 115,234.56 and 30,069.12

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Solution

The fourth proportional to 76,828.80, 115,234.56 and 30,069.12 is: 45,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,828.80 : 115,234.56 = 30,069.12 : x
  2. Step 2: Convert to fraction form
    76,828.80/115,234.56 = 30,069.12/x
  3. Step 3: Cross multiply
    76,828.80x = 115,234.56 × 30,069.12
  4. Step 4: Simplify right side
    76,828.80x = 3,465,001,812.79
  5. Step 5: Solve for x
    x = 3,465,001,812.79/76,828.80
  6. Step 6: Final answer
    x = 45,100.30

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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.