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Finding the Fourth Proportional to 76,930.84, 115,412.94 and 23,623

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Solution

The fourth proportional to 76,930.84, 115,412.94 and 23,623 is: 35,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,930.84 : 115,412.94 = 23,623 : x
  2. Step 2: Convert to fraction form
    76,930.84/115,412.94 = 23,623/x
  3. Step 3: Cross multiply
    76,930.84x = 115,412.94 × 23,623
  4. Step 4: Simplify right side
    76,930.84x = 2,726,399,881.62
  5. Step 5: Solve for x
    x = 2,726,399,881.62/76,930.84
  6. Step 6: Final answer
    x = 35,439.62

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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.