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Finding the Fourth Proportional to 89,335.12, 134,022.12 and 27,004

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Solution

The fourth proportional to 89,335.12, 134,022.12 and 27,004 is: 40,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,335.12 : 134,022.12 = 27,004 : x
  2. Step 2: Convert to fraction form
    89,335.12/134,022.12 = 27,004/x
  3. Step 3: Cross multiply
    89,335.12x = 134,022.12 × 27,004
  4. Step 4: Simplify right side
    89,335.12x = 3,619,133,328.48
  5. Step 5: Solve for x
    x = 3,619,133,328.48/89,335.12
  6. Step 6: Final answer
    x = 40,511.88

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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.