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Finding the Fourth Proportional to 44,103.44, 66,116.28 and 16,382

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Solution

The fourth proportional to 44,103.44, 66,116.28 and 16,382 is: 24,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,103.44 : 66,116.28 = 16,382 : x
  2. Step 2: Convert to fraction form
    44,103.44/66,116.28 = 16,382/x
  3. Step 3: Cross multiply
    44,103.44x = 66,116.28 × 16,382
  4. Step 4: Simplify right side
    44,103.44x = 1,083,116,898.96
  5. Step 5: Solve for x
    x = 1,083,116,898.96/44,103.44
  6. Step 6: Final answer
    x = 24,558.56

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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.