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Finding the Fourth Proportional to 54,322.50, 81,491.04 and 23,165.04

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Solution

The fourth proportional to 54,322.50, 81,491.04 and 23,165.04 is: 34,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,322.50 : 81,491.04 = 23,165.04 : x
  2. Step 2: Convert to fraction form
    54,322.50/81,491.04 = 23,165.04/x
  3. Step 3: Cross multiply
    54,322.50x = 81,491.04 × 23,165.04
  4. Step 4: Simplify right side
    54,322.50x = 1,887,743,201.24
  5. Step 5: Solve for x
    x = 1,887,743,201.24/54,322.50
  6. Step 6: Final answer
    x = 34,750.67

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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.