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Finding the Fourth Proportional to 109,122.49, 163,723.71 and 45,958.51

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Solution

The fourth proportional to 109,122.49, 163,723.71 and 45,958.51 is: 68,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,122.49 : 163,723.71 = 45,958.51 : x
  2. Step 2: Convert to fraction form
    109,122.49/163,723.71 = 45,958.51/x
  3. Step 3: Cross multiply
    109,122.49x = 163,723.71 × 45,958.51
  4. Step 4: Simplify right side
    109,122.49x = 7,524,497,763.27
  5. Step 5: Solve for x
    x = 7,524,497,763.27/109,122.49
  6. Step 6: Final answer
    x = 68,954.60

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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.