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Finding the Fourth Proportional to 45,152.78, 67,770.76 and 22,982

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Solution

The fourth proportional to 45,152.78, 67,770.76 and 22,982 is: 34,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,152.78 : 67,770.76 = 22,982 : x
  2. Step 2: Convert to fraction form
    45,152.78/67,770.76 = 22,982/x
  3. Step 3: Cross multiply
    45,152.78x = 67,770.76 × 22,982
  4. Step 4: Simplify right side
    45,152.78x = 1,557,507,606.32
  5. Step 5: Solve for x
    x = 1,557,507,606.32/45,152.78
  6. Step 6: Final answer
    x = 34,494.17

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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.