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Finding the Fourth Proportional to 73,141.54, 109,716.09 and 23,225.53

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Solution

The fourth proportional to 73,141.54, 109,716.09 and 23,225.53 is: 34,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,141.54 : 109,716.09 = 23,225.53 : x
  2. Step 2: Convert to fraction form
    73,141.54/109,716.09 = 23,225.53/x
  3. Step 3: Cross multiply
    73,141.54x = 109,716.09 × 23,225.53
  4. Step 4: Simplify right side
    73,141.54x = 2,548,214,339.78
  5. Step 5: Solve for x
    x = 2,548,214,339.78/73,141.54
  6. Step 6: Final answer
    x = 34,839.50

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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.