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Finding the Fourth Proportional to 44,633.92, 66,949.04 and 18,338

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Solution

The fourth proportional to 44,633.92, 66,949.04 and 18,338 is: 27,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,633.92 : 66,949.04 = 18,338 : x
  2. Step 2: Convert to fraction form
    44,633.92/66,949.04 = 18,338/x
  3. Step 3: Cross multiply
    44,633.92x = 66,949.04 × 18,338
  4. Step 4: Simplify right side
    44,633.92x = 1,227,711,495.52
  5. Step 5: Solve for x
    x = 1,227,711,495.52/44,633.92
  6. Step 6: Final answer
    x = 27,506.24

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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.