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Finding the Fourth Proportional to 92,583.82, 138,847.08 and 33,412

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Solution

The fourth proportional to 92,583.82, 138,847.08 and 33,412 is: 50,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,583.82 : 138,847.08 = 33,412 : x
  2. Step 2: Convert to fraction form
    92,583.82/138,847.08 = 33,412/x
  3. Step 3: Cross multiply
    92,583.82x = 138,847.08 × 33,412
  4. Step 4: Simplify right side
    92,583.82x = 4,639,158,636.96
  5. Step 5: Solve for x
    x = 4,639,158,636.96/92,583.82
  6. Step 6: Final answer
    x = 50,107.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.