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Finding the Fourth Proportional to 41,079.36, 61,624.52 and 14,419

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Solution

The fourth proportional to 41,079.36, 61,624.52 and 14,419 is: 21,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,079.36 : 61,624.52 = 14,419 : x
  2. Step 2: Convert to fraction form
    41,079.36/61,624.52 = 14,419/x
  3. Step 3: Cross multiply
    41,079.36x = 61,624.52 × 14,419
  4. Step 4: Simplify right side
    41,079.36x = 888,563,953.88
  5. Step 5: Solve for x
    x = 888,563,953.88/41,079.36
  6. Step 6: Final answer
    x = 21,630.42

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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.